LMFDB - Elliptic curves over $\Q$ of conductor 37830

The results below are complete, since the LMFDB contains all elliptic curves with conductor at most 500000

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Conductor	Discriminant	j-invariant	Rank

Bad$\ p$	Curves per isogeny class	Complex multiplication	Torsion

Isogeny class degree	Cyclic isogeny degree	Isogeny class size	Integral points

Analytic order of Ш	$p\ $div$\ $\|Ш\|	Regulator	Reduction	Faltings height

Galois image	Adelic level	Adelic index	Adelic genus

Nonmax$\ \ell$	$abc$ quality	Szpiro ratio	Manin constant

Intrinsic torsion order

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Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	Sato-Tate	Semistable	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
37830.a1	37830b1	37830.a	37830b	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 97 $	$ - 2^{10} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 97^{3} $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$25220$	$2$	$0$	$0.928281717$	$1$		$12$	$49920$	$0.931210$	$174770640071/546727633920$	$0.94703$	$3.27125$	$1$	$[1, 1, 0, 117, -35523]$	$y^2+xy=x^3+x^2+117x-35523$	25220.2.0.?	$[(134, 1485), (3798/11, 2391/11)]$	$1$
37830.b1	37830d1	37830.b	37830d	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 97 $	$ - 2^{12} \cdot 3^{2} \cdot 5^{5} \cdot 13^{3} \cdot 97 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$25220$	$2$	$0$	$1.449342085$	$1$		$4$	$195840$	$1.405380$	$-3741843290232306169/24550156800000$	$0.92622$	$4.05825$	$1$	$[1, 1, 0, -32343, -2265003]$	$y^2+xy=x^3+x^2-32343x-2265003$	25220.2.0.?	$[(222, 1137)]$	$1$
37830.c1	37830a1	37830.c	37830a	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 97 $	$ - 2^{10} \cdot 3^{8} \cdot 5 \cdot 13^{5} \cdot 97 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$25220$	$2$	$0$	$1.305499106$	$1$		$4$	$243200$	$1.586988$	$-918128823707198089/1209841547166720$	$0.93303$	$4.03649$	$1$	$[1, 1, 0, -20248, 1999168]$	$y^2+xy=x^3+x^2-20248x+1999168$	25220.2.0.?	$[(16, 1288)]$	$1$
37830.d1	37830c1	37830.d	37830c	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 97 $	$ - 2^{2} \cdot 3^{3} \cdot 5^{3} \cdot 13^{5} \cdot 97 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$37830$	$2$	$0$	$0.342674819$	$1$		$6$	$96480$	$1.241228$	$-2442969414055753129/486208183500$	$0.92397$	$4.01676$	$1$	$[1, 1, 0, -28058, 1797648]$	$y^2+xy=x^3+x^2-28058x+1797648$	37830.2.0.?	$[(106, 116)]$	$1$
37830.e1	37830i1	37830.e	37830i	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 97 $	$ - 2^{2} \cdot 3^{2} \cdot 5^{5} \cdot 13 \cdot 97 $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$25220$	$2$	$0$	$0.174947865$	$1$		$26$	$19200$	$0.244405$	$-3803721481/141862500$	$0.84608$	$2.48941$	$1$	$[1, 1, 0, -32, 564]$	$y^2+xy=x^3+x^2-32x+564$	25220.2.0.?	$[(-2, 26), (8, 26)]$	$1$
37830.f1	37830g1	37830.f	37830g	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 97 $	$ - 2^{6} \cdot 3^{4} \cdot 5^{3} \cdot 13^{7} \cdot 97 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$25220$	$2$	$0$	$0.163958544$	$1$		$6$	$467712$	$1.681974$	$6716596995795543479/3944120784552000$	$0.97326$	$4.11267$	$1$	$[1, 1, 0, 39308, -347504]$	$y^2+xy=x^3+x^2+39308x-347504$	25220.2.0.?	$[(112, 2284)]$	$1$
37830.g1	37830h1	37830.g	37830h	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 97 $	$ 2^{20} \cdot 3^{8} \cdot 5^{2} \cdot 13^{4} \cdot 97 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.21	2B	$3880$	$48$	$0$	$2.512803344$	$1$		$13$	$798720$	$2.292011$	$313507935617703592835161/476491440114892800$	$0.97263$	$5.13261$	$2$	$[1, 1, 0, -1415277, 646611741]$	$y^2+xy=x^3+x^2-1415277x+646611741$	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.3, 194.6.0.?, 388.12.0.?, $\ldots$	$[(747, 2259), (617, 2649)]$	$1$
37830.g2	37830h2	37830.g	37830h	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 97 $	$ - 2^{10} \cdot 3^{4} \cdot 5^{4} \cdot 13^{8} \cdot 97^{2} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.12	2B	$3880$	$48$	$0$	$0.628200836$	$1$		$24$	$1597440$	$2.638584$	$-110777075176926344149081/397882904745605760000$	$0.98727$	$5.22128$	$1$	$[1, 1, 0, -1000557, 1033711389]$	$y^2+xy=x^3+x^2-1000557x+1033711389$	2.3.0.a.1, 4.12.0-4.a.1.1, 388.24.0.?, 3880.48.0.?	$[(243, 28251), (9018, 847251)]$	$1$
37830.h1	37830e1	37830.h	37830e	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 97 $	$ 2^{2} \cdot 3^{6} \cdot 5 \cdot 13 \cdot 97^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$50440$	$12$	$0$	$2.374749006$	$1$		$3$	$24576$	$0.565652$	$86826493040041/1783381860$	$0.86118$	$3.04481$	$1$	$[1, 1, 0, -922, -10976]$	$y^2+xy=x^3+x^2-922x-10976$	2.3.0.a.1, 130.6.0.?, 776.6.0.?, 50440.12.0.?	$[(760, 20572)]$	$1$
37830.h2	37830e2	37830.h	37830e	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 97 $	$ - 2 \cdot 3^{12} \cdot 5^{2} \cdot 13^{2} \cdot 97 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$50440$	$12$	$0$	$4.749498013$	$1$		$0$	$49152$	$0.912226$	$11836763639/435595615650$	$0.96766$	$3.24971$	$1$	$[1, 1, 0, 48, -31734]$	$y^2+xy=x^3+x^2+48x-31734$	2.3.0.a.1, 260.6.0.?, 776.6.0.?, 50440.12.0.?	$[(557/4, 6361/4)]$	$1$
37830.i1	37830f1	37830.i	37830f	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 97 $	$ - 2^{6} \cdot 3^{8} \cdot 5^{15} \cdot 13^{3} \cdot 97 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$25220$	$2$	$0$	$0.725426446$	$1$		$6$	$6151680$	$3.221497$	$-108673026027798157289434731961/2730875291015625000000$	$1.00909$	$6.34277$	$1$	$[1, 1, 0, -99418227, -381595912659]$	$y^2+xy=x^3+x^2-99418227x-381595912659$	25220.2.0.?	$[(56382, 13134309)]$	$1$
37830.j1	37830j1	37830.j	37830j	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 97 $	$ - 2^{10} \cdot 3^{4} \cdot 5^{9} \cdot 13 \cdot 97 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$25220$	$2$	$0$	$1$	$1$		$0$	$195840$	$1.429262$	$69037558946356391/204282000000000$	$0.92760$	$3.81256$	$1$	$[1, 0, 1, 8546, -616048]$	$y^2+xy+y=x^3+8546x-616048$	25220.2.0.?	$[ ]$	$1$
37830.k1	37830k2	37830.k	37830k	$2$	$3$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 97 $	$ - 2^{9} \cdot 3^{4} \cdot 5^{3} \cdot 13^{6} \cdot 97 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓	$3$	3.8.0.2	3B.1.2	$11640$	$16$	$0$	$1$	$1$		$0$	$798336$	$2.212692$	$-1414242446350368771071209/2427151252032000$	$0.97762$	$5.27553$	$1$	$[1, 0, 1, -2338479, -1376608094]$	$y^2+xy+y=x^3-2338479x-1376608094$	3.8.0-3.a.1.1, 3880.2.0.?, 11640.16.0.?	$[ ]$	$1$
37830.k2	37830k1	37830.k	37830k	$2$	$3$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 97 $	$ - 2^{3} \cdot 3^{12} \cdot 5 \cdot 13^{2} \cdot 97^{3} $	$0$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$3$	3.8.0.1	3B.1.1	$11640$	$16$	$0$	$1$	$1$		$2$	$266112$	$1.663385$	$-975745774860333049/3278815318120680$	$0.94180$	$4.11161$	$1$	$[1, 0, 1, -20664, -2984498]$	$y^2+xy+y=x^3-20664x-2984498$	3.8.0-3.a.1.2, 3880.2.0.?, 11640.16.0.?	$[ ]$	$1$
37830.l1	37830m1	37830.l	37830m	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 97 $	$ - 2^{16} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 97 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$25220$	$2$	$0$	$1$	$1$		$0$	$23552$	$0.526339$	$-2000852317801/3718840320$	$0.85368$	$2.82353$	$1$	$[1, 0, 1, -263, -3382]$	$y^2+xy+y=x^3-263x-3382$	25220.2.0.?	$[ ]$	$1$
37830.m1	37830o1	37830.m	37830o	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 97 $	$ - 2^{2} \cdot 3^{5} \cdot 5^{7} \cdot 13 \cdot 97 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$37830$	$2$	$0$	$0.088990632$	$1$		$12$	$41440$	$0.789961$	$26036981844119/95757187500$	$0.88195$	$3.08975$	$1$	$[1, 0, 1, 617, 13718]$	$y^2+xy+y=x^3+617x+13718$	37830.2.0.?	$[(-11, 80)]$	$1$
37830.n1	37830l4	37830.n	37830l	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 97 $	$ 2 \cdot 3 \cdot 5^{12} \cdot 13 \cdot 97 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$151320$	$48$	$0$	$2.073071154$	$1$		$2$	$112128$	$1.341259$	$7443670502851916761/1847167968750$	$0.92945$	$4.12243$	$2$	$[1, 0, 1, -40678, 3153698]$	$y^2+xy+y=x^3-40678x+3153698$	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 104.12.0.?, 520.24.0.?, $\ldots$	$[(174, 1075)]$	$1$
37830.n2	37830l3	37830.n	37830l	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 97 $	$ 2 \cdot 3^{4} \cdot 5^{3} \cdot 13 \cdot 97^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$151320$	$48$	$0$	$2.073071154$	$1$		$2$	$112128$	$1.341259$	$770290762139049241/23305333223250$	$0.96027$	$3.90723$	$2$	$[1, 0, 1, -19098, -990494]$	$y^2+xy+y=x^3-19098x-990494$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 104.12.0.?, 520.24.0.?, $\ldots$	$[(-70, 102)]$	$1$
37830.n3	37830l2	37830.n	37830l	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 97 $	$ 2^{2} \cdot 3^{2} \cdot 5^{6} \cdot 13^{2} \cdot 97^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.6.0.1	2Cs	$151320$	$48$	$0$	$1.036535577$	$1$		$10$	$56064$	$0.994686$	$2553432858309241/894443062500$	$0.89497$	$3.36559$	$1$	$[1, 0, 1, -2848, 36506]$	$y^2+xy+y=x^3-2848x+36506$	2.6.0.a.1, 20.12.0-2.a.1.1, 104.12.0.?, 520.24.0.?, 1164.12.0.?, $\ldots$	$[(-5, 227)]$	$1$
37830.n4	37830l1	37830.n	37830l	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 97 $	$ - 2^{4} \cdot 3 \cdot 5^{3} \cdot 13^{4} \cdot 97 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$151320$	$48$	$0$	$2.073071154$	$1$		$3$	$28032$	$0.648112$	$16696735751879/16622502000$	$0.86685$	$2.88840$	$2$	$[1, 0, 1, 532, 4058]$	$y^2+xy+y=x^3+532x+4058$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 104.12.0.?, 520.24.0.?, $\ldots$	$[(29, 195)]$	$1$
37830.o1	37830n1	37830.o	37830n	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 97 $	$ - 2^{6} \cdot 3^{6} \cdot 5 \cdot 13 \cdot 97 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$25220$	$2$	$0$	$0.279024596$	$1$		$6$	$23040$	$0.393829$	$-7484678655481/294166080$	$0.84218$	$2.81852$	$1$	$[1, 0, 1, -408, 3238]$	$y^2+xy+y=x^3-408x+3238$	25220.2.0.?	$[(17, 27)]$	$1$
37830.p1	37830p1	37830.p	37830p	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 97 $	$ - 2^{54} \cdot 3^{2} \cdot 5^{9} \cdot 13^{3} \cdot 97 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$25220$	$2$	$0$	$1.050310649$	$1$		$2$	$45163008$	$4.217880$	$54417704466075898374229626001151/67482957163310088192000000000$	$1.03264$	$6.94515$	$1$	$[1, 1, 1, 789475824, -9127268353551]$	$y^2+xy+y=x^3+x^2+789475824x-9127268353551$	25220.2.0.?	$[(153973, 61264709)]$	$1$
37830.q1	37830s1	37830.q	37830s	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 97 $	$ - 2^{4} \cdot 3^{22} \cdot 5 \cdot 13 \cdot 97 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$25220$	$2$	$0$	$1$	$1$		$0$	$211200$	$1.657164$	$872185564155269519/3165721293355920$	$0.94211$	$4.07673$	$1$	$[1, 1, 1, 19905, 2490165]$	$y^2+xy+y=x^3+x^2+19905x+2490165$	25220.2.0.?	$[ ]$	$1$
37830.r1	37830q1	37830.r	37830q	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 97 $	$ - 2^{2} \cdot 3^{8} \cdot 5 \cdot 13^{3} \cdot 97 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$25220$	$2$	$0$	$1$	$1$		$0$	$32256$	$0.702259$	$-33265084589281/27964162980$	$0.86726$	$3.03891$	$1$	$[1, 1, 1, -670, 10175]$	$y^2+xy+y=x^3+x^2-670x+10175$	25220.2.0.?	$[ ]$	$1$
37830.s1	37830r1	37830.s	37830r	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 97 $	$ - 2^{14} \cdot 3^{5} \cdot 5 \cdot 13^{3} \cdot 97 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$37830$	$2$	$0$	$1$	$1$		$0$	$90720$	$1.125998$	$-7428686641756561/4242267095040$	$0.90065$	$3.53203$	$1$	$[1, 1, 1, -4065, -142305]$	$y^2+xy+y=x^3+x^2-4065x-142305$	37830.2.0.?	$[ ]$	$1$
37830.t1	37830t4	37830.t	37830t	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 97 $	$ 2^{3} \cdot 3^{4} \cdot 5^{3} \cdot 13^{12} \cdot 97^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.8	2B	$1560$	$48$	$0$	$1$	$1$		$0$	$6220800$	$3.179955$	$14744789983875259660561223041/17756146316311322049000$	$1.00418$	$6.15326$	$2$	$[1, 1, 1, -51086360, -140416795663]$	$y^2+xy+y=x^3+x^2-51086360x-140416795663$	2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.v.1.1, 312.24.0.?, 1560.48.0.?	$[ ]$	$1$
37830.t2	37830t3	37830.t	37830t	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 97 $	$ 2^{3} \cdot 3 \cdot 5^{3} \cdot 13^{3} \cdot 97^{8} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.6	2B	$1560$	$48$	$0$	$1$	$4$	$2$	$0$	$6220800$	$3.179955$	$5600163455211446304650663041/51656524820538549951000$	$1.00182$	$6.06142$	$2$	$[1, 1, 1, -36996360, 85905236337]$	$y^2+xy+y=x^3+x^2-36996360x+85905236337$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 40.24.0-40.bb.1.5, 156.12.0.?, $\ldots$	$[ ]$	$1$
37830.t3	37830t2	37830.t	37830t	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 97 $	$ 2^{6} \cdot 3^{2} \cdot 5^{6} \cdot 13^{6} \cdot 97^{4} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.1	2Cs	$1560$	$48$	$0$	$1$	$1$		$2$	$3110400$	$2.833382$	$7299722233234506445943041/3845825372648961000000$	$1.00363$	$5.43124$	$1$	$[1, 1, 1, -4041360, -937779663]$	$y^2+xy+y=x^3+x^2-4041360x-937779663$	2.6.0.a.1, 4.12.0-2.a.1.1, 40.24.0-40.a.1.4, 156.24.0.?, 1560.48.0.?	$[ ]$	$1$
37830.t4	37830t1	37830.t	37830t	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 97 $	$ - 2^{12} \cdot 3 \cdot 5^{12} \cdot 13^{3} \cdot 97^{2} $	$0$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.7	2B	$1560$	$48$	$0$	$1$	$1$		$3$	$1555200$	$2.486809$	$97429466112745474056959/62014719000000000000$	$0.99119$	$5.02174$	$1$	$[1, 1, 1, 958640, -113779663]$	$y^2+xy+y=x^3+x^2+958640x-113779663$	2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.bb.1.2, 78.6.0.?, 156.24.0.?, $\ldots$	$[ ]$	$1$
37830.u1	37830y1	37830.u	37830y	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 97 $	$ - 2^{14} \cdot 3^{8} \cdot 5^{3} \cdot 13 \cdot 97^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$25220$	$2$	$0$	$0.278030845$	$1$		$8$	$2741760$	$2.786644$	$-7687247559604848745237729/1500037145682536448000$	$0.98553$	$5.46371$	$1$	$[1, 0, 0, -4111646, -3711148860]$	$y^2+xy=x^3-4111646x-3711148860$	25220.2.0.?	$[(3076, 111370)]$	$1$
37830.v1	37830u1	37830.v	37830u	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 97 $	$ - 2 \cdot 3^{28} \cdot 5 \cdot 13^{2} \cdot 97 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$3880$	$2$	$0$	$1.674634148$	$1$		$0$	$810880$	$2.253819$	$-1975583504633441101489/3750192587141756730$	$0.96851$	$4.78985$	$1$	$[1, 0, 0, -261411, -106452405]$	$y^2+xy=x^3-261411x-106452405$	3880.2.0.?	$[(4755/2, 279555/2)]$	$1$
37830.w1	37830x1	37830.w	37830x	$2$	$3$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 97 $	$ - 2^{6} \cdot 3^{12} \cdot 5^{3} \cdot 13 \cdot 97 $	$1$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$3$	3.8.0.1	3B.1.1	$75660$	$16$	$0$	$1.760044699$	$1$		$8$	$186624$	$1.605574$	$-572326371539096052529/5361176808000$	$0.98701$	$4.53438$	$1$	$[1, 0, 0, -172971, 27674865]$	$y^2+xy=x^3-172971x+27674865$	3.8.0-3.a.1.2, 25220.2.0.?, 75660.16.0.?	$[(126, 2745)]$	$1$
37830.w2	37830x2	37830.w	37830x	$2$	$3$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 97 $	$ - 2^{2} \cdot 3^{4} \cdot 5^{9} \cdot 13^{3} \cdot 97^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓	$3$	3.8.0.2	3B.1.2	$75660$	$16$	$0$	$0.586681566$	$1$		$4$	$559872$	$2.154881$	$-73104316609809474289/1268879289539062500$	$0.97616$	$4.66491$	$1$	$[1, 0, 0, -87111, 55084941]$	$y^2+xy=x^3-87111x+55084941$	3.8.0-3.a.1.1, 25220.2.0.?, 75660.16.0.?	$[(-282, 7707)]$	$1$
37830.x1	37830v4	37830.x	37830v	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 97 $	$ 2^{11} \cdot 3^{16} \cdot 5^{5} \cdot 13 \cdot 97^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.7	2B	$50440$	$48$	$0$	$1$	$1$		$0$	$12390400$	$3.603619$	$9746767800165691625640374914849/317066485593528403200000$	$1.01931$	$6.76932$	$2$	$[1, 0, 0, -445019426, -3613339910844]$	$y^2+xy=x^3-445019426x-3613339910844$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 260.12.0.?, 520.24.0.?, $\ldots$	$[ ]$	$1$
37830.x2	37830v2	37830.x	37830v	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 97 $	$ 2^{22} \cdot 3^{8} \cdot 5^{10} \cdot 13^{2} \cdot 97^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.1	2Cs	$50440$	$48$	$0$	$1$	$1$		$2$	$6195200$	$3.257046$	$2702652238257846790070914849/427326827765760000000000$	$1.00232$	$5.99230$	$1$	$[1, 0, 0, -29019426, -51298310844]$	$y^2+xy=x^3-29019426x-51298310844$	2.6.0.a.1, 8.12.0-2.a.1.1, 260.12.0.?, 388.12.0.?, 520.24.0.?, $\ldots$	$[ ]$	$1$
37830.x3	37830v1	37830.x	37830v	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 97 $	$ 2^{44} \cdot 3^{4} \cdot 5^{5} \cdot 13 \cdot 97 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.12	2B	$50440$	$48$	$0$	$1$	$1$		$1$	$3097600$	$2.910473$	$57646427881253842993467169/5615260858633420800000$	$0.99060$	$5.62728$	$2$	$[1, 0, 0, -8047906, 8013342020]$	$y^2+xy=x^3-8047906x+8013342020$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 260.12.0.?, 388.12.0.?, $\ldots$	$[ ]$	$1$
37830.x4	37830v3	37830.x	37830v	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 97 $	$ - 2^{11} \cdot 3^{4} \cdot 5^{20} \cdot 13^{4} \cdot 97 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.8	2B	$50440$	$48$	$0$	$1$	$4$	$2$	$0$	$12390400$	$3.603619$	$15049833955501140831007387871/43828862695312500000000000$	$1.04952$	$6.28749$	$2$	$[1, 0, 0, 51436254, -285118608060]$	$y^2+xy=x^3+51436254x-285118608060$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 388.12.0.?, 520.24.0.?, $\ldots$	$[ ]$	$1$
37830.y1	37830w4	37830.y	37830w	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 97 $	$ 2^{4} \cdot 3 \cdot 5^{24} \cdot 13^{2} \cdot 97 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.6	2B	$2328$	$48$	$0$	$7.317800999$	$4$	$2$	$2$	$3391488$	$3.041656$	$88464832782010227254086129/46900749206542968750000$	$1.10202$	$5.66791$	$2$	$[1, 0, 0, -9282871, -3153585799]$	$y^2+xy=x^3-9282871x-3153585799$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.2, 24.24.0-24.z.1.4, $\ldots$	$[(-410, 24361)]$	$1$
37830.y2	37830w2	37830.y	37830w	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 97 $	$ 2^{8} \cdot 3^{2} \cdot 5^{12} \cdot 13^{4} \cdot 97^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.1	2Cs	$1164$	$48$	$0$	$3.658900499$	$1$		$6$	$1695744$	$2.695084$	$16921238277536807464708849/151160877562500000000$	$1.07442$	$5.51099$	$1$	$[1, 0, 0, -5348551, 4723709705]$	$y^2+xy=x^3-5348551x+4723709705$	2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.2, 388.24.0.?, 1164.48.0.?	$[(266, 57485)]$	$1$
37830.y3	37830w1	37830.y	37830w	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 97 $	$ 2^{16} \cdot 3^{4} \cdot 5^{6} \cdot 13^{2} \cdot 97 $	$1$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.7	2B	$2328$	$48$	$0$	$1.829450249$	$1$		$9$	$847872$	$2.348511$	$16812135956704372661181169/1359700992000000$	$0.98541$	$5.51038$	$1$	$[1, 0, 0, -5337031, 4745226761]$	$y^2+xy=x^3-5337031x+4745226761$	2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.z.1.8, 194.6.0.?, 388.24.0.?, $\ldots$	$[(758, 33317)]$	$1$
37830.y4	37830w3	37830.y	37830w	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 97 $	$ - 2^{4} \cdot 3 \cdot 5^{6} \cdot 13^{8} \cdot 97^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.8	2B	$2328$	$48$	$0$	$1.829450249$	$1$		$2$	$3391488$	$3.041656$	$-451755260716342924708849/54162040664806200750000$	$1.02058$	$5.67371$	$2$	$[1, 0, 0, -1598551, 11223959705]$	$y^2+xy=x^3-1598551x+11223959705$	2.3.0.a.1, 4.12.0-4.c.1.2, 6.6.0.a.1, 12.24.0-12.g.1.1, 776.24.0.?, $\ldots$	$[(-512, 109381)]$	$1$
37830.z1	37830bd8	37830.z	37830bd	$8$	$16$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 97 $	$ 2 \cdot 3^{2} \cdot 5^{16} \cdot 13^{4} \cdot 97 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	16.96.0.144	2B	$201760$	$768$	$13$	$1$	$4$	$2$	$0$	$5111808$	$3.263145$	$2080715524939479717643838309281/7609177551269531250$	$1.04553$	$6.62283$	$2$	$[1, 0, 0, -265968170, -1669545946350]$	$y^2+xy=x^3-265968170x-1669545946350$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.bb.1.3, 16.96.0-16.x.1.1, 776.96.0.?, $\ldots$	$[ ]$	$1$
37830.z2	37830bd6	37830.z	37830bd	$8$	$16$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 97 $	$ 2^{2} \cdot 3^{4} \cdot 5^{8} \cdot 13^{8} \cdot 97^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.96.0.51	2Cs	$100880$	$768$	$13$	$1$	$1$		$2$	$2555904$	$2.916573$	$508686956122817563500015361/971393810414076562500$	$1.02767$	$5.83386$	$2$	$[1, 0, 0, -16630640, -26062551108]$	$y^2+xy=x^3-16630640x-26062551108$	2.6.0.a.1, 4.24.0-4.b.1.1, 8.96.0-8.k.2.2, 776.192.1.?, 1040.192.1.?, $\ldots$	$[ ]$	$1$
37830.z3	37830bd7	37830.z	37830bd	$8$	$16$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 97 $	$ - 2 \cdot 3^{2} \cdot 5^{4} \cdot 13^{16} \cdot 97 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	16.96.0.139	2B	$201760$	$768$	$13$	$1$	$4$	$2$	$0$	$5111808$	$3.263145$	$-154310397026165916426315361/726135874771145001491250$	$1.00994$	$5.93052$	$2$	$[1, 0, 0, -11174390, -43447254858]$	$y^2+xy=x^3-11174390x-43447254858$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.ba.1.1, 16.96.0-16.u.1.2, 776.96.0.?, $\ldots$	$[ ]$	$1$
37830.z4	37830bd4	37830.z	37830bd	$8$	$16$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 97 $	$ 2^{4} \cdot 3^{8} \cdot 5^{4} \cdot 13^{4} \cdot 97^{4} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.96.0.7	2Cs	$100880$	$768$	$13$	$1$	$1$		$6$	$1277952$	$2.570000$	$295766137257618460155841/165893887376396010000$	$1.00385$	$5.12708$	$1$	$[1, 0, 0, -1388060, -110534400]$	$y^2+xy=x^3-1388060x-110534400$	2.6.0.a.1, 4.48.0-4.b.1.1, 8.96.0-8.b.1.11, 520.192.1.?, 776.192.1.?, $\ldots$	$[ ]$	$1$
37830.z5	37830bd2	37830.z	37830bd	$8$	$16$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 97 $	$ 2^{8} \cdot 3^{16} \cdot 5^{2} \cdot 13^{2} \cdot 97^{2} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	16.96.0.8	2Cs	$100880$	$768$	$13$	$1$	$1$		$6$	$638976$	$2.223427$	$71125912466869080150721/438076768276742400$	$0.96753$	$4.99188$	$2$	$[1, 0, 0, -863180, 306955152]$	$y^2+xy=x^3-863180x+306955152$	2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.i.1.10, 16.96.0-16.d.1.10, 520.96.0.?, $\ldots$	$[ ]$	$1$
37830.z6	37830bd1	37830.z	37830bd	$8$	$16$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 97 $	$ 2^{16} \cdot 3^{8} \cdot 5 \cdot 13 \cdot 97 $	$0$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	32.96.0.6	2B	$201760$	$768$	$13$	$1$	$1$		$3$	$319488$	$1.876852$	$70809965983288820433601/2711034593280$	$0.96742$	$4.99146$	$4$	$[1, 0, 0, -861900, 307915920]$	$y^2+xy=x^3-861900x+307915920$	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 16.48.0-16.g.1.2, 32.96.0-32.e.2.3, $\ldots$	$[ ]$	$1$
37830.z7	37830bd3	37830.z	37830bd	$8$	$16$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 97 $	$ - 2^{4} \cdot 3^{32} \cdot 5 \cdot 13 \cdot 97 $	$0$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	32.96.0.6	2B	$201760$	$768$	$13$	$1$	$4$	$2$	$2$	$1277952$	$2.570000$	$-5107501047547200669121/186932676651373720080$	$0.99763$	$5.13693$	$4$	$[1, 0, 0, -358780, 662960672]$	$y^2+xy=x^3-358780x+662960672$	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 16.48.0-16.g.1.2, 32.96.0-32.e.2.3, $\ldots$	$[ ]$	$1$
37830.z8	37830bd5	37830.z	37830bd	$8$	$16$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 97 $	$ - 2^{2} \cdot 3^{4} \cdot 5^{2} \cdot 13^{2} \cdot 97^{8} $	$0$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.96.0.100	2B	$201760$	$768$	$13$	$1$	$4$	$2$	$2$	$2555904$	$2.916573$	$17966019185011323998732159/10728662847342621912900$	$1.01580$	$5.51668$	$2$	$[1, 0, 0, 5456440, -875749500]$	$y^2+xy=x^3+5456440x-875749500$	2.3.0.a.1, 4.24.0-4.d.1.1, 8.96.0-8.n.1.6, 260.48.0.?, 520.192.1.?, $\ldots$	$[ ]$	$1$
37830.ba1	37830bc1	37830.ba	37830bc	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 97 $	$ 2^{2} \cdot 3^{2} \cdot 5^{3} \cdot 13 \cdot 97^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$50440$	$12$	$0$	$1$	$1$		$1$	$20736$	$0.377905$	$1529221973761/550426500$	$0.83913$	$2.66162$	$1$	$[1, 0, 0, -240, -900]$	$y^2+xy=x^3-240x-900$	2.3.0.a.1, 130.6.0.?, 776.6.0.?, 50440.12.0.?	$[ ]$	$1$

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