Elliptic curve search results

Results (20 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	Weierstrass coefficients	Weierstrass equation	mod-$m$ images
1850.g1	1850d1	1850.g	1850d	$1$	$1$	\( 2 \cdot 5^{2} \cdot 37 \)	\( - 2^{23} \cdot 5^{8} \cdot 37^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.2.0.1		$8$	$2$	$0$	$1$	$1$		$0$	$22080$	$1.747602$	$-132384574175625/11484004352$	$[1, -1, 0, -77617, 8944541]$	\(y^2+xy=x^3-x^2-77617x+8944541\)	8.2.0.a.1
1850.h1	1850m1	1850.h	1850m	$1$	$1$	\( 2 \cdot 5^{2} \cdot 37 \)	\( - 2^{23} \cdot 5^{2} \cdot 37^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.2.0.1		$8$	$2$	$0$	$0.062324207$	$1$		$10$	$4416$	$0.942883$	$-132384574175625/11484004352$	$[1, -1, 1, -3105, 72177]$	\(y^2+xy+y=x^3-x^2-3105x+72177\)	8.2.0.a.1
14800.c1	14800bf1	14800.c	14800bf	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 37 \)	\( - 2^{35} \cdot 5^{8} \cdot 37^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.2.0.1		$8$	$2$	$0$	$1.799433543$	$1$		$0$	$529920$	$2.440750$	$-132384574175625/11484004352$	$[0, 0, 0, -1241875, -571208750]$	\(y^2=x^3-1241875x-571208750\)	8.2.0.a.1
14800.bk1	14800z1	14800.bk	14800z	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 37 \)	\( - 2^{35} \cdot 5^{2} \cdot 37^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.2.0.1		$8$	$2$	$0$	$12.83084165$	$1$		$0$	$105984$	$1.636030$	$-132384574175625/11484004352$	$[0, 0, 0, -49675, -4569670]$	\(y^2=x^3-49675x-4569670\)	8.2.0.a.1
16650.s1	16650q1	16650.s	16650q	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 37 \)	\( - 2^{23} \cdot 3^{6} \cdot 5^{2} \cdot 37^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.2.0.1		$8$	$2$	$0$	$10.32305813$	$1$		$0$	$61824$	$1.492189$	$-132384574175625/11484004352$	$[1, -1, 0, -27942, -1920844]$	\(y^2+xy=x^3-x^2-27942x-1920844\)	8.2.0.a.1
16650.ce1	16650cg1	16650.ce	16650cg	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 37 \)	\( - 2^{23} \cdot 3^{6} \cdot 5^{8} \cdot 37^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.2.0.1		$8$	$2$	$0$	$1$	$1$		$0$	$309120$	$2.296909$	$-132384574175625/11484004352$	$[1, -1, 1, -698555, -240804053]$	\(y^2+xy+y=x^3-x^2-698555x-240804053\)	8.2.0.a.1
59200.c1	59200cp1	59200.c	59200cp	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 37 \)	\( - 2^{41} \cdot 5^{2} \cdot 37^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.2.0.1		$8$	$2$	$0$	$1$	$1$		$0$	$847872$	$1.982605$	$-132384574175625/11484004352$	$[0, 0, 0, -198700, -36557360]$	\(y^2=x^3-198700x-36557360\)	8.2.0.a.1
59200.d1	59200bw1	59200.d	59200bw	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 37 \)	\( - 2^{41} \cdot 5^{8} \cdot 37^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.2.0.1		$8$	$2$	$0$	$5.171713013$	$1$		$2$	$4239360$	$2.787323$	$-132384574175625/11484004352$	$[0, 0, 0, -4967500, 4569670000]$	\(y^2=x^3-4967500x+4569670000\)	8.2.0.a.1
59200.dw1	59200dz1	59200.dw	59200dz	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 37 \)	\( - 2^{41} \cdot 5^{8} \cdot 37^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.2.0.1		$8$	$2$	$0$	$1$	$16$	$2$	$0$	$4239360$	$2.787323$	$-132384574175625/11484004352$	$[0, 0, 0, -4967500, -4569670000]$	\(y^2=x^3-4967500x-4569670000\)	8.2.0.a.1
59200.dx1	59200q1	59200.dx	59200q	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 37 \)	\( - 2^{41} \cdot 5^{2} \cdot 37^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.2.0.1		$8$	$2$	$0$	$4.341536888$	$1$		$0$	$847872$	$1.982605$	$-132384574175625/11484004352$	$[0, 0, 0, -198700, 36557360]$	\(y^2=x^3-198700x+36557360\)	8.2.0.a.1
68450.b1	68450l1	68450.b	68450l	$1$	$1$	\( 2 \cdot 5^{2} \cdot 37^{2} \)	\( - 2^{23} \cdot 5^{2} \cdot 37^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.2.0.1		$8$	$2$	$0$	$7.647015374$	$1$		$2$	$6041088$	$2.748341$	$-132384574175625/11484004352$	$[1, -1, 0, -4250317, 3617742181]$	\(y^2+xy=x^3-x^2-4250317x+3617742181\)	8.2.0.a.1
68450.bp1	68450bo1	68450.bp	68450bo	$1$	$1$	\( 2 \cdot 5^{2} \cdot 37^{2} \)	\( - 2^{23} \cdot 5^{8} \cdot 37^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.2.0.1		$8$	$2$	$0$	$5.360547811$	$1$		$0$	$30205440$	$3.553062$	$-132384574175625/11484004352$	$[1, -1, 1, -106257930, 452111514697]$	\(y^2+xy+y=x^3-x^2-106257930x+452111514697\)	8.2.0.a.1
90650.b1	90650bg1	90650.b	90650bg	$1$	$1$	\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 37 \)	\( - 2^{23} \cdot 5^{8} \cdot 7^{6} \cdot 37^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.2.0.1		$8$	$2$	$0$	$7.056182887$	$1$		$2$	$8478720$	$2.720558$	$-132384574175625/11484004352$	$[1, -1, 0, -3803242, -3060371084]$	\(y^2+xy=x^3-x^2-3803242x-3060371084\)	8.2.0.a.1
90650.dk1	90650ct1	90650.dk	90650ct	$1$	$1$	\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 37 \)	\( - 2^{23} \cdot 5^{2} \cdot 7^{6} \cdot 37^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.2.0.1		$8$	$2$	$0$	$1$	$1$		$0$	$1695744$	$1.915838$	$-132384574175625/11484004352$	$[1, -1, 1, -152130, -24452543]$	\(y^2+xy+y=x^3-x^2-152130x-24452543\)	8.2.0.a.1
133200.dk1	133200cq1	133200.dk	133200cq	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 37 \)	\( - 2^{35} \cdot 3^{6} \cdot 5^{2} \cdot 37^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.2.0.1		$8$	$2$	$0$	$1$	$1$		$0$	$1483776$	$2.185337$	$-132384574175625/11484004352$	$[0, 0, 0, -447075, 123381090]$	\(y^2=x^3-447075x+123381090\)	8.2.0.a.1
133200.dl1	133200s1	133200.dl	133200s	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 37 \)	\( - 2^{35} \cdot 3^{6} \cdot 5^{8} \cdot 37^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.2.0.1		$8$	$2$	$0$	$1$	$1$		$0$	$7418880$	$2.990055$	$-132384574175625/11484004352$	$[0, 0, 0, -11176875, 15422636250]$	\(y^2=x^3-11176875x+15422636250\)	8.2.0.a.1
223850.d1	223850ca1	223850.d	223850ca	$1$	$1$	\( 2 \cdot 5^{2} \cdot 11^{2} \cdot 37 \)	\( - 2^{23} \cdot 5^{2} \cdot 11^{6} \cdot 37^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.2.0.1		$8$	$2$	$0$	$16.25022390$	$1$		$0$	$6314880$	$2.141830$	$-132384574175625/11484004352$	$[1, -1, 0, -375667, -94940939]$	\(y^2+xy=x^3-x^2-375667x-94940939\)	8.2.0.a.1
223850.ds1	223850br1	223850.ds	223850br	$1$	$1$	\( 2 \cdot 5^{2} \cdot 11^{2} \cdot 37 \)	\( - 2^{23} \cdot 5^{8} \cdot 11^{6} \cdot 37^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.2.0.1		$8$	$2$	$0$	$1$	$1$		$0$	$31574400$	$2.946548$	$-132384574175625/11484004352$	$[1, -1, 1, -9391680, -11877009053]$	\(y^2+xy+y=x^3-x^2-9391680x-11877009053\)	8.2.0.a.1
312650.a1	312650a1	312650.a	312650a	$1$	$1$	\( 2 \cdot 5^{2} \cdot 13^{2} \cdot 37 \)	\( - 2^{23} \cdot 5^{2} \cdot 13^{6} \cdot 37^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.2.0.1		$8$	$2$	$0$	$2.516704518$	$1$		$2$	$10174464$	$2.225357$	$-132384574175625/11484004352$	$[1, -1, 0, -524692, 156999376]$	\(y^2+xy=x^3-x^2-524692x+156999376\)	8.2.0.a.1
312650.cm1	312650cm1	312650.cm	312650cm	$1$	$1$	\( 2 \cdot 5^{2} \cdot 13^{2} \cdot 37 \)	\( - 2^{23} \cdot 5^{8} \cdot 13^{6} \cdot 37^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.2.0.1		$8$	$2$	$0$	$1$	$1$		$0$	$50872320$	$3.030079$	$-132384574175625/11484004352$	$[1, -1, 1, -13117305, 19611804697]$	\(y^2+xy+y=x^3-x^2-13117305x+19611804697\)	8.2.0.a.1