Elliptic curve search results

Results (29 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
1596.d2	1596e1	1596.d	1596e	$2$	$2$	\( 2^{2} \cdot 3 \cdot 7 \cdot 19 \)	\( - 2^{4} \cdot 3^{5} \cdot 7^{4} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$0.080133711$	$1$		$19$	$960$	$0.516002$	$-83369132032/210622923$	$1.04089$	$4.01330$	$[0, 1, 0, -229, 3020]$	\(y^2=x^3+x^2-229x+3020\)	2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.?	$[(-13, 63)]$
4788.f2	4788e1	4788.f	4788e	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 19 \)	\( - 2^{4} \cdot 3^{11} \cdot 7^{4} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$3.277984572$	$1$		$3$	$7680$	$1.065308$	$-83369132032/210622923$	$1.04089$	$4.27087$	$[0, 0, 0, -2064, -83603]$	\(y^2=x^3-2064x-83603\)	2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.?	$[(311, 5418)]$
6384.d2	6384r1	6384.d	6384r	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7 \cdot 19 \)	\( - 2^{4} \cdot 3^{5} \cdot 7^{4} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$1$		$1$	$3840$	$0.516002$	$-83369132032/210622923$	$1.04089$	$3.37830$	$[0, -1, 0, -229, -3020]$	\(y^2=x^3-x^2-229x-3020\)	2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.?	$[]$
11172.i2	11172d1	11172.i	11172d	$2$	$2$	\( 2^{2} \cdot 3 \cdot 7^{2} \cdot 19 \)	\( - 2^{4} \cdot 3^{5} \cdot 7^{10} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$3.539607888$	$1$		$3$	$46080$	$1.488956$	$-83369132032/210622923$	$1.04089$	$4.42805$	$[0, -1, 0, -11237, -1058322]$	\(y^2=x^3-x^2-11237x-1058322\)	2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.?	$[(166, 1274)]$
19152.bl2	19152bm1	19152.bl	19152bm	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 19 \)	\( - 2^{4} \cdot 3^{11} \cdot 7^{4} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1.807185705$	$1$		$3$	$30720$	$1.065308$	$-83369132032/210622923$	$1.04089$	$3.67041$	$[0, 0, 0, -2064, 83603]$	\(y^2=x^3-2064x+83603\)	2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.?	$[(-11, 324)]$
25536.bo2	25536n1	25536.bo	25536n	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 19 \)	\( - 2^{10} \cdot 3^{5} \cdot 7^{4} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$1$		$1$	$30720$	$0.862576$	$-83369132032/210622923$	$1.04089$	$3.32662$	$[0, -1, 0, -917, 25077]$	\(y^2=x^3-x^2-917x+25077\)	2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.?	$[]$
25536.de2	25536cy1	25536.de	25536cy	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 19 \)	\( - 2^{10} \cdot 3^{5} \cdot 7^{4} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$1$		$1$	$30720$	$0.862576$	$-83369132032/210622923$	$1.04089$	$3.32662$	$[0, 1, 0, -917, -25077]$	\(y^2=x^3+x^2-917x-25077\)	2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.?	$[]$
30324.c2	30324e1	30324.c	30324e	$2$	$2$	\( 2^{2} \cdot 3 \cdot 7 \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{5} \cdot 7^{4} \cdot 19^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$4$	$2$	$1$	$345600$	$1.988222$	$-83369132032/210622923$	$1.04089$	$4.58015$	$[0, -1, 0, -82789, -21210662]$	\(y^2=x^3-x^2-82789x-21210662\)	2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.?	$[]$
33516.h2	33516l1	33516.h	33516l	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{4} \cdot 3^{11} \cdot 7^{10} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$1$		$1$	$368640$	$2.038261$	$-83369132032/210622923$	$1.04089$	$4.59379$	$[0, 0, 0, -101136, 28675829]$	\(y^2=x^3-101136x+28675829\)	2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.?	$[]$
39900.c2	39900d1	39900.c	39900d	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{4} \cdot 3^{5} \cdot 5^{6} \cdot 7^{4} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$4.018046479$	$1$		$3$	$122880$	$1.320721$	$-83369132032/210622923$	$1.04089$	$3.70543$	$[0, -1, 0, -5733, 388962]$	\(y^2=x^3-x^2-5733x+388962\)	2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.?	$[(206, 2812)]$
44688.dm2	44688dl1	44688.dm	44688dl	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 19 \)	\( - 2^{4} \cdot 3^{5} \cdot 7^{10} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1.948411357$	$1$		$3$	$184320$	$1.488956$	$-83369132032/210622923$	$1.04089$	$3.85475$	$[0, 1, 0, -11237, 1058322]$	\(y^2=x^3+x^2-11237x+1058322\)	2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.?	$[(1234, 43218)]$
76608.bc2	76608ei1	76608.bc	76608ei	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 19 \)	\( - 2^{10} \cdot 3^{11} \cdot 7^{4} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$1$		$1$	$245760$	$1.411882$	$-83369132032/210622923$	$1.04089$	$3.58777$	$[0, 0, 0, -8256, 668824]$	\(y^2=x^3-8256x+668824\)	2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.?	$[]$
76608.bn2	76608cg1	76608.bn	76608cg	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 19 \)	\( - 2^{10} \cdot 3^{11} \cdot 7^{4} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1.377396742$	$1$		$7$	$245760$	$1.411882$	$-83369132032/210622923$	$1.04089$	$3.58777$	$[0, 0, 0, -8256, -668824]$	\(y^2=x^3-8256x-668824\)	2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.?	$[(265, 3969)]$
90972.j2	90972k1	90972.j	90972k	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{11} \cdot 7^{4} \cdot 19^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1.183335149$	$1$		$7$	$2764800$	$2.537529$	$-83369132032/210622923$	$1.04089$	$4.71676$	$[0, 0, 0, -745104, 573432977]$	\(y^2=x^3-745104x+573432977\)	2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.?	$[(76, 22743)]$
119700.v2	119700s1	119700.v	119700s	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{4} \cdot 3^{11} \cdot 5^{6} \cdot 7^{4} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$1$		$1$	$983040$	$1.870028$	$-83369132032/210622923$	$1.04089$	$3.92102$	$[0, 0, 0, -51600, -10450375]$	\(y^2=x^3-51600x-10450375\)	2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.?	$[]$
121296.cd2	121296cr1	121296.cd	121296cr	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7 \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{5} \cdot 7^{4} \cdot 19^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$1$		$1$	$1382400$	$1.988222$	$-83369132032/210622923$	$1.04089$	$4.03774$	$[0, 1, 0, -82789, 21210662]$	\(y^2=x^3+x^2-82789x+21210662\)	2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.?	$[]$
134064.bj2	134064p1	134064.bj	134064p	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{4} \cdot 3^{11} \cdot 7^{10} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$13.42602937$	$1$		$1$	$1474560$	$2.038261$	$-83369132032/210622923$	$1.04089$	$4.05438$	$[0, 0, 0, -101136, -28675829]$	\(y^2=x^3-101136x-28675829\)	2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.?	$[(98968625/53, 984528902322/53)]$
159600.gp2	159600bk1	159600.gp	159600bk	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{4} \cdot 3^{5} \cdot 5^{6} \cdot 7^{4} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$1$		$1$	$491520$	$1.320721$	$-83369132032/210622923$	$1.04089$	$3.27666$	$[0, 1, 0, -5733, -388962]$	\(y^2=x^3+x^2-5733x-388962\)	2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.?	$[]$
178752.v2	178752dh1	178752.v	178752dh	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 19 \)	\( - 2^{10} \cdot 3^{5} \cdot 7^{10} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1.813281788$	$1$		$5$	$1474560$	$1.835531$	$-83369132032/210622923$	$1.04089$	$3.75677$	$[0, -1, 0, -44949, 8511525]$	\(y^2=x^3-x^2-44949x+8511525\)	2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.?	$[(68, 2401)]$
178752.gn2	178752gb1	178752.gn	178752gb	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 19 \)	\( - 2^{10} \cdot 3^{5} \cdot 7^{10} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$1$		$1$	$1474560$	$1.835531$	$-83369132032/210622923$	$1.04089$	$3.75677$	$[0, 1, 0, -44949, -8511525]$	\(y^2=x^3+x^2-44949x-8511525\)	2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.?	$[]$
193116.t2	193116d1	193116.t	193116d	$2$	$2$	\( 2^{2} \cdot 3 \cdot 7 \cdot 11^{2} \cdot 19 \)	\( - 2^{4} \cdot 3^{5} \cdot 7^{4} \cdot 11^{6} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$1$		$1$	$1344000$	$1.714951$	$-83369132032/210622923$	$1.04089$	$3.61403$	$[0, 1, 0, -27749, -4130568]$	\(y^2=x^3+x^2-27749x-4130568\)	2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.?	$[]$
212268.cf2	212268x1	212268.cf	212268x	$2$	$2$	\( 2^{2} \cdot 3 \cdot 7^{2} \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{5} \cdot 7^{10} \cdot 19^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$4.686053579$	$1$		$3$	$16588800$	$2.961178$	$-83369132032/210622923$	$1.04089$	$4.80541$	$[0, 1, 0, -4056677, 7283370408]$	\(y^2=x^3+x^2-4056677x+7283370408\)	2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.?	$[(772, 67914)]$
269724.bj2	269724bj1	269724.bj	269724bj	$2$	$2$	\( 2^{2} \cdot 3 \cdot 7 \cdot 13^{2} \cdot 19 \)	\( - 2^{4} \cdot 3^{5} \cdot 7^{4} \cdot 13^{6} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1.801362060$	$1$		$3$	$1843200$	$1.798477$	$-83369132032/210622923$	$1.04089$	$3.59762$	$[0, 1, 0, -38757, 6789888]$	\(y^2=x^3+x^2-38757x+6789888\)	2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.?	$[(732, 19266)]$
279300.cj2	279300cj1	279300.cj	279300cj	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{4} \cdot 3^{5} \cdot 5^{6} \cdot 7^{10} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$1$		$1$	$5898240$	$2.293674$	$-83369132032/210622923$	$1.04089$	$4.06149$	$[0, 1, 0, -280933, -132852112]$	\(y^2=x^3+x^2-280933x-132852112\)	2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.?	$[]$
363888.dt2	363888dt1	363888.dt	363888dt	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{11} \cdot 7^{4} \cdot 19^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$9$	$3$	$1$	$11059200$	$2.537529$	$-83369132032/210622923$	$1.04089$	$4.20610$	$[0, 0, 0, -745104, -573432977]$	\(y^2=x^3-745104x-573432977\)	2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.?	$[]$
461244.n2	461244n1	461244.n	461244n	$2$	$2$	\( 2^{2} \cdot 3 \cdot 7 \cdot 17^{2} \cdot 19 \)	\( - 2^{4} \cdot 3^{5} \cdot 7^{4} \cdot 17^{6} \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$3.958134049$	$1$		$3$	$4915200$	$1.932610$	$-83369132032/210622923$	$1.04089$	$3.57304$	$[0, -1, 0, -66277, 15234742]$	\(y^2=x^3-x^2-66277x+15234742\)	2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.?	$[(141, 2945)]$
478800.ks2	478800ks1	478800.ks	478800ks	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{4} \cdot 3^{11} \cdot 5^{6} \cdot 7^{4} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$1$		$1$	$3932160$	$1.870028$	$-83369132032/210622923$	$1.04089$	$3.50541$	$[0, 0, 0, -51600, 10450375]$	\(y^2=x^3-51600x+10450375\)	2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.?	$[]$
485184.dk2	485184dk1	485184.dk	485184dk	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 19^{2} \)	\( - 2^{10} \cdot 3^{5} \cdot 7^{4} \cdot 19^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$4.458494931$	$1$		$1$	$11059200$	$2.334797$	$-83369132032/210622923$	$1.04089$	$3.92786$	$[0, -1, 0, -331157, 170016453]$	\(y^2=x^3-x^2-331157x+170016453\)	2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.?	$[(6037/2, 445835/2)]$
485184.ip2	485184ip1	485184.ip	485184ip	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 19^{2} \)	\( - 2^{10} \cdot 3^{5} \cdot 7^{4} \cdot 19^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$1$		$1$	$11059200$	$2.334797$	$-83369132032/210622923$	$1.04089$	$3.92786$	$[0, 1, 0, -331157, -170016453]$	\(y^2=x^3+x^2-331157x-170016453\)	2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.?	$[]$