LMFDB - Elliptic curve search results

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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

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Results (21 matches)

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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	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
3990.f1	3990i1	3990.f	3990i	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19 $	$ - 2^{5} \cdot 3^{8} \cdot 5^{3} \cdot 7^{3} \cdot 19 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓	$5320$	$2$	$0$	$0.676941704$	$1$	$4$	$5760$	$0.842686$	$185183253170999/171032148000$	$0.94098$	$3.96215$	$[1, 1, 0, 1188, -11664]$	$y^2+xy=x^3+x^2+1188x-11664$	5320.2.0.?	$[(27, 189)]$
11970.bk1	11970bu1	11970.bk	11970bu	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 $	$ - 2^{5} \cdot 3^{14} \cdot 5^{3} \cdot 7^{3} \cdot 19 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$5320$	$2$	$0$	$1$	$1$	$0$	$46080$	$1.391993$	$185183253170999/171032148000$	$0.94098$	$4.20057$	$[1, -1, 1, 10687, 325617]$	$y^2+xy+y=x^3-x^2+10687x+325617$	5320.2.0.?	$[]$
19950.cx1	19950da1	19950.cx	19950da	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 $	$ - 2^{5} \cdot 3^{8} \cdot 5^{9} \cdot 7^{3} \cdot 19 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$5320$	$2$	$0$	$0.077070768$	$1$	$14$	$138240$	$1.647406$	$185183253170999/171032148000$	$0.94098$	$4.29341$	$[1, 0, 0, 29687, -1517383]$	$y^2+xy=x^3+29687x-1517383$	5320.2.0.?	$[(812, 23219)]$
27930.z1	27930bd1	27930.z	27930bd	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 $	$ - 2^{5} \cdot 3^{8} \cdot 5^{3} \cdot 7^{9} \cdot 19 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$5320$	$2$	$0$	$0.498848586$	$1$	$6$	$276480$	$1.815641$	$185183253170999/171032148000$	$0.94098$	$4.34950$	$[1, 0, 1, 58186, 4175336]$	$y^2+xy+y=x^3+58186x+4175336$	5320.2.0.?	$[(186, 4537)]$
31920.cf1	31920by1	31920.cf	31920by	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 19 $	$ - 2^{17} \cdot 3^{8} \cdot 5^{3} \cdot 7^{3} \cdot 19 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$5320$	$2$	$0$	$0.086729854$	$1$	$12$	$138240$	$1.535833$	$185183253170999/171032148000$	$0.94098$	$3.96974$	$[0, 1, 0, 19000, 784500]$	$y^2=x^3+x^2+19000x+784500$	5320.2.0.?	$[(190, 3360)]$
59850.dk1	59850cm1	59850.dk	59850cm	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 $	$ - 2^{5} \cdot 3^{14} \cdot 5^{9} \cdot 7^{3} \cdot 19 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$5320$	$2$	$0$	$1$	$1$	$0$	$1105920$	$2.196712$	$185183253170999/171032148000$	$0.94098$	$4.46386$	$[1, -1, 0, 267183, 40969341]$	$y^2+xy=x^3-x^2+267183x+40969341$	5320.2.0.?	$[]$
75810.di1	75810dp1	75810.di	75810dp	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19^{2} $	$ - 2^{5} \cdot 3^{8} \cdot 5^{3} \cdot 7^{3} \cdot 19^{7} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$5320$	$2$	$0$	$0.156641277$	$1$	$10$	$2073600$	$2.314907$	$185183253170999/171032148000$	$0.94098$	$4.49618$	$[1, 0, 0, 428680, 83433312]$	$y^2+xy=x^3+428680x+83433312$	5320.2.0.?	$[(2044, 96448)]$
83790.fu1	83790fi1	83790.fu	83790fi	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 19 $	$ - 2^{5} \cdot 3^{14} \cdot 5^{3} \cdot 7^{9} \cdot 19 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$5320$	$2$	$0$	$0.778536797$	$1$	$6$	$2211840$	$2.364948$	$185183253170999/171032148000$	$0.94098$	$4.50946$	$[1, -1, 1, 523678, -112734079]$	$y^2+xy+y=x^3-x^2+523678x-112734079$	5320.2.0.?	$[(471, 15199)]$
95760.bh1	95760do1	95760.bh	95760do	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 $	$ - 2^{17} \cdot 3^{14} \cdot 5^{3} \cdot 7^{3} \cdot 19 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$5320$	$2$	$0$	$1$	$1$	$0$	$1105920$	$2.085140$	$185183253170999/171032148000$	$0.94098$	$4.16421$	$[0, 0, 0, 170997, -21010502]$	$y^2=x^3+170997x-21010502$	5320.2.0.?	$[]$
127680.u1	127680eg1	127680.u	127680eg	$1$	$1$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 19 $	$ - 2^{23} \cdot 3^{8} \cdot 5^{3} \cdot 7^{3} \cdot 19 $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$5320$	$2$	$0$	$1.614787569$	$1$	$12$	$1105920$	$1.882406$	$185183253170999/171032148000$	$0.94098$	$3.85540$	$[0, -1, 0, 75999, 6200001]$	$y^2=x^3-x^2+75999x+6200001$	5320.2.0.?	$[(1725, 72576), (-67, 896)]$
127680.eg1	127680cb1	127680.eg	127680cb	$1$	$1$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 19 $	$ - 2^{23} \cdot 3^{8} \cdot 5^{3} \cdot 7^{3} \cdot 19 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$5320$	$2$	$0$	$1$	$1$	$0$	$1105920$	$1.882406$	$185183253170999/171032148000$	$0.94098$	$3.85540$	$[0, 1, 0, 75999, -6200001]$	$y^2=x^3+x^2+75999x-6200001$	5320.2.0.?	$[]$
139650.eq1	139650ds1	139650.eq	139650ds	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 19 $	$ - 2^{5} \cdot 3^{8} \cdot 5^{9} \cdot 7^{9} \cdot 19 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$5320$	$2$	$0$	$1.603199046$	$1$	$4$	$6635520$	$2.620361$	$185183253170999/171032148000$	$0.94098$	$4.57373$	$[1, 1, 1, 1454662, 521917031]$	$y^2+xy+y=x^3+x^2+1454662x+521917031$	5320.2.0.?	$[(1875, 98287)]$
159600.br1	159600ez1	159600.br	159600ez	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 $	$ - 2^{17} \cdot 3^{8} \cdot 5^{9} \cdot 7^{3} \cdot 19 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$5320$	$2$	$0$	$1$	$1$	$0$	$3317760$	$2.340553$	$185183253170999/171032148000$	$0.94098$	$4.24248$	$[0, -1, 0, 474992, 97112512]$	$y^2=x^3-x^2+474992x+97112512$	5320.2.0.?	$[]$
223440.bx1	223440fj1	223440.bx	223440fj	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 $	$ - 2^{17} \cdot 3^{8} \cdot 5^{3} \cdot 7^{9} \cdot 19 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$5320$	$2$	$0$	$1$	$1$	$0$	$6635520$	$2.508789$	$185183253170999/171032148000$	$0.94098$	$4.29050$	$[0, -1, 0, 930984, -267221520]$	$y^2=x^3-x^2+930984x-267221520$	5320.2.0.?	$[]$
227430.r1	227430fk1	227430.r	227430fk	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} $	$ - 2^{5} \cdot 3^{14} \cdot 5^{3} \cdot 7^{3} \cdot 19^{7} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$5320$	$2$	$0$	$7.750124626$	$1$	$0$	$16588800$	$2.864212$	$185183253170999/171032148000$	$0.94098$	$4.63012$	$[1, -1, 0, 3858120, -2252699424]$	$y^2+xy=x^3-x^2+3858120x-2252699424$	5320.2.0.?	$[(84357/11, 36602253/11)]$
379050.be1	379050be1	379050.be	379050be	$1$	$1$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} $	$ - 2^{5} \cdot 3^{8} \cdot 5^{9} \cdot 7^{3} \cdot 19^{7} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$5320$	$2$	$0$	$0.600325822$	$1$	$4$	$49766400$	$3.119625$	$185183253170999/171032148000$	$0.94098$	$4.68460$	$[1, 1, 0, 10717000, 10429164000]$	$y^2+xy=x^3+x^2+10717000x+10429164000$	5320.2.0.?	$[(1195, 157340)]$
383040.ho1	383040ho1	383040.ho	383040ho	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 $	$ - 2^{23} \cdot 3^{14} \cdot 5^{3} \cdot 7^{3} \cdot 19 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$5320$	$2$	$0$	$1.844784567$	$1$	$2$	$8847360$	$2.431713$	$185183253170999/171032148000$	$0.94098$	$4.03867$	$[0, 0, 0, 683988, 168084016]$	$y^2=x^3+683988x+168084016$	5320.2.0.?	$[(182, 17280)]$
383040.ov1	383040ov1	383040.ov	383040ov	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 $	$ - 2^{23} \cdot 3^{14} \cdot 5^{3} \cdot 7^{3} \cdot 19 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$5320$	$2$	$0$	$1$	$1$	$0$	$8847360$	$2.431713$	$185183253170999/171032148000$	$0.94098$	$4.03867$	$[0, 0, 0, 683988, -168084016]$	$y^2=x^3+683988x-168084016$	5320.2.0.?	$[]$
418950.ih1	418950ih1	418950.ih	418950ih	$1$	$1$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 $	$ - 2^{5} \cdot 3^{14} \cdot 5^{9} \cdot 7^{9} \cdot 19 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$5320$	$2$	$0$	$9.238945140$	$1$	$0$	$53084160$	$3.169666$	$185183253170999/171032148000$	$0.94098$	$4.69477$	$[1, -1, 0, 13091958, -14078667884]$	$y^2+xy=x^3-x^2+13091958x-14078667884$	5320.2.0.?	$[(2851619/19, 5206394432/19)]$
478800.p1	478800p1	478800.p	478800p	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 $	$ - 2^{17} \cdot 3^{14} \cdot 5^{9} \cdot 7^{3} \cdot 19 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$5320$	$2$	$0$	$2.897046337$	$1$	$2$	$26542080$	$2.889858$	$185183253170999/171032148000$	$0.94098$	$4.39011$	$[0, 0, 0, 4274925, -2626312750]$	$y^2=x^3+4274925x-2626312750$	5320.2.0.?	$[(985, 50400)]$
482790.fv1	482790fv1	482790.fv	482790fv	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 19 $	$ - 2^{5} \cdot 3^{8} \cdot 5^{3} \cdot 7^{3} \cdot 11^{6} \cdot 19 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$		$5320$	$2$	$0$	$0.802790324$	$1$	$6$	$6854400$	$2.041634$	$185183253170999/171032148000$	$0.94098$	$3.60958$	$[1, 1, 1, 143685, 16243305]$	$y^2+xy+y=x^3+x^2+143685x+16243305$	5320.2.0.?	$[(103, 5618)]$

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Elliptic curves over $\Q$
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Genus 2 curves over $\Q$
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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

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