Elliptic curve search results

Results (14 matches)

 

Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	CM	Sato-Tate	Semistable	Potentially good	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
19110.bu2	19110bq1	19110.bu	19110bq	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{2} \cdot 3^{20} \cdot 5^{3} \cdot 7^{9} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$19.55654035$	$1$		$1$	$1774080$	$2.886452$	$-6729249553378150807/22664098606500$	$1.00672$	$6.17490$	$[1, 1, 1, -13490926, 19122436199]$	\(y^2+xy+y=x^3+x^2-13490926x+19122436199\)	2.3.0.a.1, 56.6.0.d.1, 520.6.0.?, 910.6.0.?, 3640.12.0.?	$[(13344181093/2341, 327872170503157/2341)]$
19110.di2	19110dh1	19110.di	19110dh	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{2} \cdot 3^{20} \cdot 5^{3} \cdot 7^{3} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$1$		$1$	$253440$	$1.913496$	$-6729249553378150807/22664098606500$	$1.00672$	$4.99053$	$[1, 0, 0, -275325, -55789875]$	\(y^2+xy=x^3-275325x-55789875\)	2.3.0.a.1, 56.6.0.d.1, 520.6.0.?, 910.6.0.?, 3640.12.0.?	$[]$
57330.d2	57330bs1	57330.d	57330bs	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{2} \cdot 3^{26} \cdot 5^{3} \cdot 7^{3} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$1$		$1$	$2027520$	$2.462803$	$-6729249553378150807/22664098606500$	$1.00672$	$5.09175$	$[1, -1, 0, -2477925, 1506326625]$	\(y^2+xy=x^3-x^2-2477925x+1506326625\)	2.3.0.a.1, 56.6.0.d.1, 520.6.0.?, 910.6.0.?, 3640.12.0.?	$[]$
57330.bx2	57330cl1	57330.bx	57330cl	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{2} \cdot 3^{26} \cdot 5^{3} \cdot 7^{9} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$9$	$3$	$1$	$14192640$	$3.435757$	$-6729249553378150807/22664098606500$	$1.00672$	$6.15737$	$[1, -1, 0, -121418334, -516427195712]$	\(y^2+xy=x^3-x^2-121418334x-516427195712\)	2.3.0.a.1, 56.6.0.d.1, 520.6.0.?, 910.6.0.?, 3640.12.0.?	$[]$
95550.ck2	95550w1	95550.ck	95550w	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{2} \cdot 3^{20} \cdot 5^{9} \cdot 7^{3} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$1$		$1$	$6082560$	$2.718216$	$-6729249553378150807/22664098606500$	$1.00672$	$5.13221$	$[1, 1, 0, -6883125, -6973734375]$	\(y^2+xy=x^3+x^2-6883125x-6973734375\)	2.3.0.a.1, 56.6.0.d.1, 520.6.0.?, 910.6.0.?, 3640.12.0.?	$[]$
95550.fq2	95550er1	95550.fq	95550er	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{2} \cdot 3^{20} \cdot 5^{9} \cdot 7^{9} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$1$		$1$	$42577920$	$3.691170$	$-6729249553378150807/22664098606500$	$1.00672$	$6.15036$	$[1, 0, 1, -337273151, 2390979071198]$	\(y^2+xy+y=x^3-337273151x+2390979071198\)	2.3.0.a.1, 56.6.0.d.1, 520.6.0.?, 910.6.0.?, 3640.12.0.?	$[]$
152880.da2	152880cz1	152880.da	152880cz	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{14} \cdot 3^{20} \cdot 5^{3} \cdot 7^{3} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$2.709697725$	$1$		$3$	$6082560$	$2.606644$	$-6729249553378150807/22664098606500$	$1.00672$	$4.81799$	$[0, -1, 0, -4405200, 3570552000]$	\(y^2=x^3-x^2-4405200x+3570552000\)	2.3.0.a.1, 56.6.0.d.1, 520.6.0.?, 910.6.0.?, 3640.12.0.?	$[(1160, 4480)]$
152880.el2	152880bt1	152880.el	152880bt	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{14} \cdot 3^{20} \cdot 5^{3} \cdot 7^{9} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$1$		$1$	$42577920$	$3.579597$	$-6729249553378150807/22664098606500$	$1.00672$	$5.79604$	$[0, 1, 0, -215854816, -1224267626380]$	\(y^2=x^3+x^2-215854816x-1224267626380\)	2.3.0.a.1, 56.6.0.d.1, 520.6.0.?, 910.6.0.?, 3640.12.0.?	$[]$
248430.bm2	248430bm1	248430.bm	248430bm	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13^{2} \)	\( - 2^{2} \cdot 3^{20} \cdot 5^{3} \cdot 7^{9} \cdot 13^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$5.225789375$	$1$		$3$	$298045440$	$4.168922$	$-6729249553378150807/22664098606500$	$1.00672$	$6.13879$	$[1, 1, 0, -2279966497, 42023392162081]$	\(y^2+xy=x^3+x^2-2279966497x+42023392162081\)	2.3.0.a.1, 56.6.0.d.1, 520.6.0.?, 910.6.0.?, 3640.12.0.?	$[(27852, 344509)]$
248430.cz2	248430cz1	248430.cz	248430cz	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13^{2} \)	\( - 2^{2} \cdot 3^{20} \cdot 5^{3} \cdot 7^{3} \cdot 13^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$2.288405810$	$1$		$7$	$42577920$	$3.195969$	$-6729249553378150807/22664098606500$	$1.00672$	$5.19896$	$[1, 0, 1, -46529929, -122523825448]$	\(y^2+xy+y=x^3-46529929x-122523825448\)	2.3.0.a.1, 56.6.0.d.1, 520.6.0.?, 910.6.0.?, 3640.12.0.?	$[(11038, 836354)]$
286650.js2	286650js1	286650.js	286650js	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{2} \cdot 3^{26} \cdot 5^{9} \cdot 7^{3} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$1$		$1$	$48660480$	$3.267521$	$-6729249553378150807/22664098606500$	$1.00672$	$5.20808$	$[1, -1, 1, -61948130, 188228879997]$	\(y^2+xy+y=x^3-x^2-61948130x+188228879997\)	2.3.0.a.1, 56.6.0.d.1, 520.6.0.?, 910.6.0.?, 3640.12.0.?	$[]$
286650.ju2	286650ju1	286650.ju	286650ju	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{2} \cdot 3^{26} \cdot 5^{9} \cdot 7^{9} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$63.23253466$	$1$		$1$	$340623360$	$4.240479$	$-6729249553378150807/22664098606500$	$1.00672$	$6.13721$	$[1, -1, 1, -3035458355, -64556434922353]$	\(y^2+xy+y=x^3-x^2-3035458355x-64556434922353\)	2.3.0.a.1, 56.6.0.d.1, 520.6.0.?, 910.6.0.?, 3640.12.0.?	$[(144267025309322649820375356111/1384674998077, 30522655751380102684318550635158917384463460/1384674998077)]$
458640.fz2	458640fz1	458640.fz	458640fz	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{14} \cdot 3^{26} \cdot 5^{3} \cdot 7^{3} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$34.20058237$	$1$		$1$	$48660480$	$3.155949$	$-6729249553378150807/22664098606500$	$1.00672$	$4.91760$	$[0, 0, 0, -39646803, -96365257198]$	\(y^2=x^3-39646803x-96365257198\)	2.3.0.a.1, 56.6.0.d.1, 520.6.0.?, 910.6.0.?, 3640.12.0.?	$[(2746762770489473/594787, 53174174339315530284176/594787)]$
458640.nk2	458640nk1	458640.nk	458640nk	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{14} \cdot 3^{26} \cdot 5^{3} \cdot 7^{9} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$9.714807466$	$1$		$3$	$340623360$	$4.128906$	$-6729249553378150807/22664098606500$	$1.00672$	$5.81323$	$[0, 0, 0, -1942693347, 33053283218914]$	\(y^2=x^3-1942693347x+33053283218914\)	2.3.0.a.1, 56.6.0.d.1, 520.6.0.?, 910.6.0.?, 3640.12.0.?	$[(276273, 143469040)]$