LMFDB - Elliptic curves over $\Q$ of conductor 27690

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Isogeny class degree	Cyclic isogeny degree	Isogeny class size	Integral points

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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	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
27690.a1	27690a4	27690.a	27690a	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 71 $	$ 2^{7} \cdot 3^{2} \cdot 5^{3} \cdot 13^{4} \cdot 71^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.7	2B	$36920$	$48$	$0$	$5.062115163$	$1$		$2$	$559104$	$2.154236$	$53650580886478650710089/104512755029904000$	$0.97206$	$5.11660$	$[1, 1, 0, -785748, -267961392]$	$y^2+xy=x^3+x^2-785748x-267961392$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 20.12.0-4.c.1.1, 40.24.0-40.v.1.4, $\ldots$	$[(1541, 45958)]$
27690.a2	27690a3	27690.a	27690a	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 71 $	$ 2^{7} \cdot 3^{8} \cdot 5^{12} \cdot 13 \cdot 71 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.8	2B	$36920$	$48$	$0$	$5.062115163$	$1$		$2$	$559104$	$2.154236$	$31287108528710925060169/189243843750000000$	$0.97021$	$5.06387$	$[1, 1, 0, -656468, 203377872]$	$y^2+xy=x^3+x^2-656468x+203377872$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 40.24.0-40.bb.1.14, 3692.12.0.?, $\ldots$	$[(1487, 49436)]$
27690.a3	27690a2	27690.a	27690a	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 71 $	$ 2^{14} \cdot 3^{4} \cdot 5^{6} \cdot 13^{2} \cdot 71^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.1	2Cs	$36920$	$48$	$0$	$2.531057581$	$1$		$8$	$279552$	$1.807663$	$31432698912159830089/17665599744000000$	$0.97878$	$4.38901$	$[1, 1, 0, -65748, -1129392]$	$y^2+xy=x^3+x^2-65748x-1129392$	2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0-2.a.1.1, 40.24.0-40.a.1.3, 3692.12.0.?, $\ldots$	$[(389, 5493)]$
27690.a4	27690a1	27690.a	27690a	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 71 $	$ - 2^{28} \cdot 3^{2} \cdot 5^{3} \cdot 13 \cdot 71 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.12	2B	$36920$	$48$	$0$	$5.062115163$	$1$		$3$	$139776$	$1.461090$	$467706008204734391/278736666624000$	$0.96078$	$3.97764$	$[1, 1, 0, 16172, -129968]$	$y^2+xy=x^3+x^2+16172x-129968$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 20.12.0-4.c.1.2, 40.24.0-40.bb.1.9, $\ldots$	$[(57, 962)]$
27690.b1	27690b2	27690.b	27690b	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 71 $	$ 2^{9} \cdot 3^{4} \cdot 5^{3} \cdot 13^{4} \cdot 71^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$2840$	$12$	$0$	$1$	$1$		$0$	$414720$	$1.859703$	$4311652625100707068729/746371589184000$	$0.96278$	$4.87012$	$[1, 1, 0, -339083, -76128963]$	$y^2+xy=x^3+x^2-339083x-76128963$	2.3.0.a.1, 40.6.0.b.1, 284.6.0.?, 2840.12.0.?	$[]$
27690.b2	27690b1	27690.b	27690b	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 71 $	$ - 2^{18} \cdot 3^{2} \cdot 5^{6} \cdot 13^{2} \cdot 71 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$2840$	$12$	$0$	$1$	$1$		$1$	$207360$	$1.513130$	$-768597950734588729/442331136000000$	$0.93274$	$4.09370$	$[1, 1, 0, -19083, -1440963]$	$y^2+xy=x^3+x^2-19083x-1440963$	2.3.0.a.1, 40.6.0.c.1, 142.6.0.?, 2840.12.0.?	$[]$
27690.c1	27690d1	27690.c	27690d	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 71 $	$ - 2^{13} \cdot 3^{3} \cdot 5^{3} \cdot 13^{5} \cdot 71 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$110760$	$2$	$0$	$7.358890254$	$1$		$2$	$262080$	$1.870205$	$-5364897664641225958729/728851129344000$	$0.96361$	$4.89151$	$[1, 1, 0, -364708, -84936752]$	$y^2+xy=x^3+x^2-364708x-84936752$	110760.2.0.?	$[(1221, 35333)]$
27690.d1	27690c4	27690.d	27690c	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 71 $	$ 2 \cdot 3^{4} \cdot 5^{8} \cdot 13^{3} \cdot 71 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$22152$	$48$	$0$	$1$	$4$	$2$	$0$	$528384$	$2.027306$	$509526598411513655063209/9871052343750$	$0.97970$	$5.33666$	$[1, 1, 0, -1663978, -826863818]$	$y^2+xy=x^3+x^2-1663978x-826863818$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 52.12.0-4.c.1.1, 312.24.0.?, $\ldots$	$[]$
27690.d2	27690c3	27690.d	27690c	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 71 $	$ 2 \cdot 3 \cdot 5^{2} \cdot 13^{12} \cdot 71 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$22152$	$48$	$0$	$1$	$1$		$0$	$528384$	$2.027306$	$430917871343019908329/248124606554422650$	$1.00717$	$4.64496$	$[1, 1, 0, -157358, 1634898]$	$y^2+xy=x^3+x^2-157358x+1634898$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 104.12.0.?, 312.24.0.?, $\ldots$	$[]$
27690.d3	27690c2	27690.d	27690c	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 71 $	$ 2^{2} \cdot 3^{2} \cdot 5^{4} \cdot 13^{6} \cdot 71^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.6.0.1	2Cs	$22152$	$48$	$0$	$1$	$1$		$2$	$264192$	$1.680733$	$124790791823474000329/547468743802500$	$0.94849$	$4.52380$	$[1, 1, 0, -104108, -12923652]$	$y^2+xy=x^3+x^2-104108x-12923652$	2.6.0.a.1, 12.12.0-2.a.1.1, 52.12.0-2.a.1.1, 156.24.0.?, 568.12.0.?, $\ldots$	$[]$
27690.d4	27690c1	27690.d	27690c	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 71 $	$ - 2^{4} \cdot 3 \cdot 5^{2} \cdot 13^{3} \cdot 71^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.6.0.1	2B	$22152$	$48$	$0$	$1$	$1$		$1$	$132096$	$1.334160$	$-3933014112231049/66995355788400$	$0.93941$	$3.84441$	$[1, 1, 0, -3288, -401808]$	$y^2+xy=x^3+x^2-3288x-401808$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 52.12.0-4.c.1.2, 78.6.0.?, $\ldots$	$[]$
27690.e1	27690h1	27690.e	27690h	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 71 $	$ - 2^{4} \cdot 3 \cdot 5^{11} \cdot 13^{7} \cdot 71^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$55380$	$2$	$0$	$1$	$1$		$0$	$4435200$	$3.042801$	$-6962439770690061931895881/52636838596844531250000$	$1.01058$	$5.85074$	$[1, 1, 0, -3978132, -11454664224]$	$y^2+xy=x^3+x^2-3978132x-11454664224$	55380.2.0.?	$[]$
27690.f1	27690j2	27690.f	27690j	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 71 $	$ 2^{5} \cdot 3^{6} \cdot 5^{2} \cdot 13^{6} \cdot 71 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$22152$	$12$	$0$	$0.733655034$	$1$		$6$	$299520$	$1.800369$	$3036959052870050207641/199864645624800$	$0.96143$	$4.83586$	$[1, 1, 0, -301697, 63653781]$	$y^2+xy=x^3+x^2-301697x+63653781$	2.3.0.a.1, 156.6.0.?, 568.6.0.?, 22152.12.0.?	$[(357, 1089)]$
27690.f2	27690j1	27690.f	27690j	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 71 $	$ - 2^{10} \cdot 3^{3} \cdot 5^{4} \cdot 13^{3} \cdot 71^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$22152$	$12$	$0$	$0.366827517$	$1$		$9$	$149760$	$1.453796$	$-613000754230751641/191377330560000$	$0.92851$	$4.04627$	$[1, 1, 0, -17697, 1116981]$	$y^2+xy=x^3+x^2-17697x+1116981$	2.3.0.a.1, 78.6.0.?, 568.6.0.?, 22152.12.0.?	$[(2, 1039)]$
27690.g1	27690f2	27690.g	27690f	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 71 $	$ 2^{6} \cdot 3^{10} \cdot 5^{3} \cdot 13^{2} \cdot 71 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$55380$	$12$	$0$	$1$	$1$		$0$	$460800$	$2.131546$	$3074231707289263022395321/5668231608000$	$0.98547$	$5.51237$	$[1, 1, 0, -3029267, -2030600979]$	$y^2+xy=x^3+x^2-3029267x-2030600979$	2.3.0.a.1, 156.6.0.?, 1420.6.0.?, 55380.12.0.?	$[]$
27690.g2	27690f1	27690.g	27690f	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 71 $	$ - 2^{12} \cdot 3^{5} \cdot 5^{6} \cdot 13 \cdot 71^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$55380$	$12$	$0$	$1$	$1$		$1$	$230400$	$1.784971$	$-749811319557704635321/1019169216000000$	$0.95592$	$4.69934$	$[1, 1, 0, -189267, -31808979]$	$y^2+xy=x^3+x^2-189267x-31808979$	2.3.0.a.1, 78.6.0.?, 1420.6.0.?, 55380.12.0.?	$[]$
27690.h1	27690k2	27690.h	27690k	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 71 $	$ 2^{6} \cdot 3^{6} \cdot 5 \cdot 13^{6} \cdot 71 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$55380$	$12$	$0$	$1$	$1$		$0$	$193536$	$1.629101$	$190804632522164271001/79945858249920$	$0.95024$	$4.56531$	$[1, 1, 0, -119937, -16031691]$	$y^2+xy=x^3+x^2-119937x-16031691$	2.3.0.a.1, 156.6.0.?, 1420.6.0.?, 55380.12.0.?	$[]$
27690.h2	27690k1	27690.h	27690k	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 71 $	$ - 2^{12} \cdot 3^{3} \cdot 5^{2} \cdot 13^{3} \cdot 71^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$55380$	$12$	$0$	$1$	$1$		$1$	$96768$	$1.282528$	$-28150227701832601/30620372889600$	$0.91996$	$3.80630$	$[1, 1, 0, -6337, -332171]$	$y^2+xy=x^3+x^2-6337x-332171$	2.3.0.a.1, 78.6.0.?, 1420.6.0.?, 55380.12.0.?	$[]$
27690.i1	27690e2	27690.i	27690e	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 71 $	$ 2 \cdot 3^{14} \cdot 5 \cdot 13^{2} \cdot 71^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$110760$	$12$	$0$	$1$	$1$		$0$	$134400$	$1.459209$	$8256628203166196281/40747499972010$	$0.97714$	$4.25831$	$[1, 1, 0, -42107, 3293979]$	$y^2+xy=x^3+x^2-42107x+3293979$	2.3.0.a.1, 40.6.0.b.1, 11076.6.0.?, 110760.12.0.?	$[]$
27690.i2	27690e1	27690.i	27690e	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 71 $	$ 2^{2} \cdot 3^{7} \cdot 5^{2} \cdot 13 \cdot 71 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$110760$	$12$	$0$	$1$	$1$		$1$	$67200$	$1.112637$	$8227250454131245081/201860100$	$0.97703$	$4.25796$	$[1, 1, 0, -42057, 3302289]$	$y^2+xy=x^3+x^2-42057x+3302289$	2.3.0.a.1, 40.6.0.c.1, 5538.6.0.?, 110760.12.0.?	$[]$
27690.j1	27690i2	27690.j	27690i	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 71 $	$ 2 \cdot 3^{2} \cdot 5^{5} \cdot 13^{2} \cdot 71^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$1560$	$12$	$0$	$0.356811896$	$1$		$6$	$115200$	$1.500383$	$2764046499902890201/241569792506250$	$0.93258$	$4.15133$	$[1, 1, 0, -29237, 1760811]$	$y^2+xy=x^3+x^2-29237x+1760811$	2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?	$[(57, 504)]$
27690.j2	27690i1	27690.j	27690i	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 71 $	$ - 2^{2} \cdot 3 \cdot 5^{10} \cdot 13 \cdot 71^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$1560$	$12$	$0$	$0.713623793$	$1$		$5$	$57600$	$1.153811$	$901400701609799/7679648437500$	$0.92271$	$3.62250$	$[1, 1, 0, 2013, 129561]$	$y^2+xy=x^3+x^2+2013x+129561$	2.3.0.a.1, 40.6.0.c.1, 78.6.0.?, 1560.12.0.?	$[(187, 2569)]$
27690.k1	27690g1	27690.k	27690g	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 71 $	$ - 2^{12} \cdot 3^{5} \cdot 5 \cdot 13^{3} \cdot 71 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$55380$	$2$	$0$	$1$	$1$		$0$	$103680$	$1.212671$	$-993417496169513401/776291143680$	$0.92580$	$4.05142$	$[1, 1, 0, -20787, 1145709]$	$y^2+xy=x^3+x^2-20787x+1145709$	55380.2.0.?	$[]$
27690.l1	27690l1	27690.l	27690l	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 71 $	$ - 2^{12} \cdot 3^{5} \cdot 5^{17} \cdot 13 \cdot 71 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$55380$	$2$	$0$	$1$	$1$		$0$	$1697280$	$2.679958$	$-15728745645804966494329/700903125000000000000$	$1.00851$	$5.42257$	$[1, 0, 1, -521984, 1281959246]$	$y^2+xy+y=x^3-521984x+1281959246$	55380.2.0.?	$[]$
27690.m1	27690m1	27690.m	27690m	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 71 $	$ - 2^{3} \cdot 3^{19} \cdot 5^{5} \cdot 13 \cdot 71 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$110760$	$2$	$0$	$0.716876288$	$1$		$4$	$200640$	$1.859949$	$-62752940613602079049/26819183351025000$	$0.95144$	$4.51066$	$[1, 0, 1, -82789, 12082136]$	$y^2+xy+y=x^3-82789x+12082136$	110760.2.0.?	$[(16, 3272)]$
27690.n1	27690n2	27690.n	27690n	$2$	$3$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 71 $	$ - 2^{3} \cdot 3 \cdot 5^{3} \cdot 13 \cdot 71^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓	$3$	3.8.0.2	3B.1.2	$110760$	$16$	$0$	$13.68294989$	$1$		$0$	$36288$	$0.701679$	$-231125114706409/13958529000$	$0.87667$	$3.24311$	$[1, 0, 1, -1279, -18598]$	$y^2+xy+y=x^3-1279x-18598$	3.8.0-3.a.1.1, 110760.16.0.?	$[(859461/28, 784399435/28)]$
27690.n2	27690n1	27690.n	27690n	$2$	$3$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 71 $	$ - 2 \cdot 3^{3} \cdot 5 \cdot 13^{3} \cdot 71 $	$1$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$3$	3.8.0.1	3B.1.1	$110760$	$16$	$0$	$4.560983298$	$1$		$4$	$12096$	$0.152373$	$71525054951/42116490$	$0.86143$	$2.44342$	$[1, 0, 1, 86, -34]$	$y^2+xy+y=x^3+86x-34$	3.8.0-3.a.1.2, 110760.16.0.?	$[(1096, 35741)]$
27690.o1	27690o1	27690.o	27690o	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 71 $	$ - 2^{18} \cdot 3 \cdot 5 \cdot 13 \cdot 71 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$55380$	$2$	$0$	$1$	$1$		$0$	$17280$	$0.515322$	$319873167719/3629383680$	$0.87267$	$2.87567$	$[1, 0, 1, 142, -2812]$	$y^2+xy+y=x^3+142x-2812$	55380.2.0.?	$[]$
27690.p1	27690r2	27690.p	27690r	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 71 $	$ 2 \cdot 3^{2} \cdot 5^{3} \cdot 13^{2} \cdot 71^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$110760$	$12$	$0$	$1$	$1$		$0$	$29952$	$0.617631$	$297662836234609/1916840250$	$0.87712$	$3.25814$	$[1, 1, 1, -1391, -20437]$	$y^2+xy+y=x^3+x^2-1391x-20437$	2.3.0.a.1, 40.6.0.b.1, 11076.6.0.?, 110760.12.0.?	$[]$
27690.p2	27690r1	27690.p	27690r	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 71 $	$ 2^{2} \cdot 3 \cdot 5^{6} \cdot 13 \cdot 71 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$110760$	$12$	$0$	$1$	$1$		$1$	$14976$	$0.271057$	$310151254609/173062500$	$0.86432$	$2.58684$	$[1, 1, 1, -141, 63]$	$y^2+xy+y=x^3+x^2-141x+63$	2.3.0.a.1, 40.6.0.c.1, 5538.6.0.?, 110760.12.0.?	$[]$
27690.q1	27690p1	27690.q	27690p	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 71 $	$ 2^{2} \cdot 3^{3} \cdot 5 \cdot 13^{2} \cdot 71 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$110760$	$12$	$0$	$1$	$1$		$1$	$8640$	$0.132498$	$770842973809/6479460$	$0.82865$	$2.67584$	$[1, 1, 1, -191, 929]$	$y^2+xy+y=x^3+x^2-191x+929$	2.3.0.a.1, 104.6.0.?, 2130.6.0.?, 110760.12.0.?	$[]$
27690.q2	27690p2	27690.q	27690p	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 71 $	$ - 2 \cdot 3^{6} \cdot 5^{2} \cdot 13 \cdot 71^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$110760$	$12$	$0$	$1$	$1$		$0$	$17280$	$0.479072$	$-25128011089/2388677850$	$0.88748$	$2.84048$	$[1, 1, 1, -61, 2333]$	$y^2+xy+y=x^3+x^2-61x+2333$	2.3.0.a.1, 104.6.0.?, 4260.6.0.?, 110760.12.0.?	$[]$
27690.r1	27690q1	27690.r	27690q	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 71 $	$ - 2^{4} \cdot 3 \cdot 5^{3} \cdot 13 \cdot 71 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$55380$	$2$	$0$	$2.424074397$	$1$		$2$	$7680$	$0.046093$	$-83396175409/5538000$	$0.80846$	$2.46905$	$[1, 1, 1, -91, -391]$	$y^2+xy+y=x^3+x^2-91x-391$	55380.2.0.?	$[(13, 22)]$
27690.s1	27690s2	27690.s	27690s	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 71 $	$ 2^{3} \cdot 3^{2} \cdot 5^{3} \cdot 13^{4} \cdot 71^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$2840$	$12$	$0$	$0.452375295$	$1$		$6$	$82944$	$1.354603$	$12040496847798876001/1295784009000$	$0.93795$	$4.29520$	$[1, 1, 1, -47750, 3995867]$	$y^2+xy+y=x^3+x^2-47750x+3995867$	2.3.0.a.1, 40.6.0.b.1, 284.6.0.?, 2840.12.0.?	$[(107, 301)]$
27690.s2	27690s1	27690.s	27690s	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 71 $	$ - 2^{6} \cdot 3^{4} \cdot 5^{6} \cdot 13^{2} \cdot 71 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$2840$	$12$	$0$	$0.226187647$	$1$		$13$	$41472$	$1.008030$	$-2300020272396001/971919000000$	$0.89846$	$3.51164$	$[1, 1, 1, -2750, 71867]$	$y^2+xy+y=x^3+x^2-2750x+71867$	2.3.0.a.1, 40.6.0.c.1, 142.6.0.?, 2840.12.0.?	$[(-13, 331)]$
27690.t1	27690v1	27690.t	27690v	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 71 $	$ - 2^{2} \cdot 3^{13} \cdot 5^{3} \cdot 13 \cdot 71 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$55380$	$2$	$0$	$1.584689149$	$1$		$2$	$104832$	$1.460545$	$-112813084929381042961/735780064500$	$0.94798$	$4.51394$	$[1, 1, 1, -100665, 12251355]$	$y^2+xy+y=x^3+x^2-100665x+12251355$	55380.2.0.?	$[(183, -82)]$
27690.u1	27690w1	27690.u	27690w	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 71 $	$ - 2^{11} \cdot 3 \cdot 5^{3} \cdot 13 \cdot 71 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$110760$	$2$	$0$	$0.279698135$	$1$		$6$	$12672$	$0.381684$	$242853829919/708864000$	$0.84927$	$2.69952$	$[1, 1, 1, 130, -1093]$	$y^2+xy+y=x^3+x^2+130x-1093$	110760.2.0.?	$[(17, 71)]$
27690.v1	27690t4	27690.v	27690t	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 71 $	$ 2^{7} \cdot 3 \cdot 5^{3} \cdot 13 \cdot 71 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	8.12.0.6	2B	$110760$	$48$	$0$	$1$	$16$	$2$	$0$	$2171904$	$2.894836$	$1458977892698902839198953472001/44304000$	$1.01978$	$6.79015$	$[1, 1, 1, -236288000, -1398109532383]$	$y^2+xy+y=x^3+x^2-236288000x-1398109532383$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 104.24.0.?, 4260.12.0.?, $\ldots$	$[]$
27690.v2	27690t2	27690.v	27690t	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 71 $	$ 2^{14} \cdot 3^{2} \cdot 5^{6} \cdot 13^{2} \cdot 71^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.1	2Cs	$110760$	$48$	$0$	$1$	$1$		$2$	$1085952$	$2.548264$	$356195775997941057614592001/1962844416000000$	$0.99936$	$5.97698$	$[1, 1, 1, -14768000, -21850076383]$	$y^2+xy+y=x^3+x^2-14768000x-21850076383$	2.6.0.a.1, 4.12.0-2.a.1.1, 104.24.0.?, 4260.24.0.?, 110760.48.0.?	$[]$
27690.v3	27690t3	27690.v	27690t	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 71 $	$ - 2^{7} \cdot 3^{4} \cdot 5^{12} \cdot 13 \cdot 71^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.8	2B	$110760$	$48$	$0$	$1$	$1$		$0$	$2171904$	$2.894836$	$-355594094072017793661726721/836203127906250000000$	$0.99939$	$5.97721$	$[1, 1, 1, -14759680, -21875914975]$	$y^2+xy+y=x^3+x^2-14759680x-21875914975$	2.3.0.a.1, 4.12.0-4.c.1.2, 104.24.0.?, 8520.24.0.?, 110760.48.0.?	$[]$
27690.v4	27690t1	27690.v	27690t	$4$	$4$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 71 $	$ 2^{28} \cdot 3 \cdot 5^{3} \cdot 13^{4} \cdot 71 $	$0$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	4.12.0.7	2B	$110760$	$48$	$0$	$1$	$1$		$3$	$542976$	$2.201691$	$87108925511443076167681/204128152190976000$	$0.97376$	$5.16398$	$[1, 1, 1, -923520, -341292255]$	$y^2+xy+y=x^3+x^2-923520x-341292255$	2.3.0.a.1, 4.12.0-4.c.1.1, 104.24.0.?, 2130.6.0.?, 4260.24.0.?, $\ldots$	$[]$
27690.w1	27690u1	27690.w	27690u	$1$	$1$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 71 $	$ - 2^{6} \cdot 3^{3} \cdot 5^{7} \cdot 13^{3} \cdot 71 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓				$55380$	$2$	$0$	$0.127362966$	$1$		$8$	$72576$	$1.241215$	$11335886044629119/21058245000000$	$0.92040$	$3.69150$	$[1, 1, 1, 4680, 185145]$	$y^2+xy+y=x^3+x^2+4680x+185145$	55380.2.0.?	$[(123, 1563)]$
27690.x1	27690x2	27690.x	27690x	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 71 $	$ 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{4} \cdot 71^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$852$	$12$	$0$	$2.229388693$	$1$		$2$	$61440$	$1.133160$	$313324929027957601/388735202700$	$0.91978$	$3.93848$	$[1, 1, 1, -14150, -653065]$	$y^2+xy+y=x^3+x^2-14150x-653065$	2.3.0.a.1, 12.6.0.a.1, 284.6.0.?, 852.12.0.?	$[(313, 4913)]$
27690.x2	27690x1	27690.x	27690x	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 71 $	$ - 2^{4} \cdot 3^{6} \cdot 5^{4} \cdot 13^{2} \cdot 71 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$852$	$12$	$0$	$1.114694346$	$1$		$5$	$30720$	$0.786586$	$-30374248413601/87472710000$	$0.88752$	$3.20979$	$[1, 1, 1, -650, -15865]$	$y^2+xy+y=x^3+x^2-650x-15865$	2.3.0.a.1, 12.6.0.b.1, 142.6.0.?, 852.12.0.?	$[(43, 173)]$
27690.y1	27690bb2	27690.y	27690bb	$2$	$3$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 71 $	$ - 2^{2} \cdot 3^{5} \cdot 5^{3} \cdot 13^{15} \cdot 71 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	✓	$3$	3.8.0.2	3B.1.2	$55380$	$16$	$0$	$1.633941495$	$1$		$0$	$4147200$	$3.218033$	$-22750725880364727753685009/441555106086053915260500$	$1.07665$	$6.05433$	$[1, 0, 0, -5903241, -32444212275]$	$y^2+xy=x^3-5903241x-32444212275$	3.8.0-3.a.1.1, 55380.16.0.?	$[(121506/5, 28657089/5)]$
27690.y2	27690bb1	27690.y	27690bb	$2$	$3$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 71 $	$ - 2^{6} \cdot 3^{15} \cdot 5 \cdot 13^{5} \cdot 71^{3} $	$1$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$3$	3.8.0.1	3B.1.1	$55380$	$16$	$0$	$0.544647165$	$1$		$8$	$1382400$	$2.668728$	$30779508519575898059951/610183706700856691520$	$1.00332$	$5.40486$	$[1, 0, 0, 652899, 1171049841]$	$y^2+xy=x^3+652899x+1171049841$	3.8.0-3.a.1.2, 55380.16.0.?	$[(-780, 14079)]$
27690.z1	27690z1	27690.z	27690z	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 71 $	$ 2^{10} \cdot 3 \cdot 5^{3} \cdot 13^{2} \cdot 71 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$110760$	$12$	$0$	$1$	$1$		$1$	$20160$	$0.543717$	$7962857630209/4607616000$	$0.97594$	$2.90413$	$[1, 0, 0, -416, 0]$	$y^2+xy=x^3-416x$	2.3.0.a.1, 104.6.0.?, 2130.6.0.?, 110760.12.0.?	$[]$
27690.z2	27690z2	27690.z	27690z	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 71 $	$ - 2^{5} \cdot 3^{2} \cdot 5^{6} \cdot 13 \cdot 71^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$110760$	$12$	$0$	$1$	$1$		$0$	$40320$	$0.890291$	$509527191693311/294898500000$	$0.99884$	$3.31069$	$[1, 0, 0, 1664, 416]$	$y^2+xy=x^3+1664x+416$	2.3.0.a.1, 104.6.0.?, 4260.6.0.?, 110760.12.0.?	$[]$
27690.ba1	27690y2	27690.ba	27690y	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 71 $	$ 2^{9} \cdot 3^{10} \cdot 5 \cdot 13^{2} \cdot 71^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$110760$	$12$	$0$	$0.193427882$	$1$		$12$	$103680$	$1.425083$	$680656882007396449/128782222133760$	$0.92797$	$4.01433$	$[1, 0, 0, -18326, 781860]$	$y^2+xy=x^3-18326x+781860$	2.3.0.a.1, 40.6.0.b.1, 11076.6.0.?, 110760.12.0.?	$[(16, 694)]$
27690.ba2	27690y1	27690.ba	27690y	$2$	$2$	$ 2 \cdot 3 \cdot 5 \cdot 13 \cdot 71 $	$ 2^{18} \cdot 3^{5} \cdot 5^{2} \cdot 13 \cdot 71 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	2.3.0.1	2B	$110760$	$12$	$0$	$0.386855764$	$1$		$11$	$51840$	$1.078508$	$18662132381233249/1469900390400$	$0.90547$	$3.66271$	$[1, 0, 0, -5526, -147420]$	$y^2+xy=x^3-5526x-147420$	2.3.0.a.1, 40.6.0.c.1, 5538.6.0.?, 110760.12.0.?	$[(-36, 90)]$

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Elliptic curves over $\Q$
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