Elliptic curve search results

Results (28 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
6760.e1	6760a1	6760.e	6760a	$1$	$1$	\( 2^{3} \cdot 5 \cdot 13^{2} \)	\( 2^{4} \cdot 5^{2} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$260$	$12$	$0$	$0.230291196$	$1$		$6$	$768$	$-0.209718$	$7311616/25$	$0.98811$	$2.68829$	$[0, -1, 0, -56, 181]$	\(y^2=x^3-x^2-56x+181\)	2.2.0.a.1, 26.6.0.a.1, 260.12.0.?	$[(6, 5)]$
6760.f1	6760k1	6760.f	6760k	$1$	$1$	\( 2^{3} \cdot 5 \cdot 13^{2} \)	\( 2^{4} \cdot 5^{2} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$260$	$12$	$0$	$0.290637684$	$1$		$6$	$9984$	$1.072758$	$7311616/25$	$0.98811$	$4.43340$	$[0, -1, 0, -9520, 359657]$	\(y^2=x^3-x^2-9520x+359657\)	2.2.0.a.1, 20.4.0-2.a.1.1, 26.6.0.a.1, 260.12.0.?	$[(-56, 845)]$
13520.r1	13520d1	13520.r	13520d	$1$	$1$	\( 2^{4} \cdot 5 \cdot 13^{2} \)	\( 2^{4} \cdot 5^{2} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$260$	$12$	$0$	$1.389807961$	$1$		$0$	$1536$	$-0.209718$	$7311616/25$	$0.98811$	$2.49239$	$[0, 1, 0, -56, -181]$	\(y^2=x^3+x^2-56x-181\)	2.2.0.a.1, 26.6.0.a.1, 260.12.0.?	$[(-19/2, 5/2)]$
13520.w1	13520i1	13520.w	13520i	$1$	$1$	\( 2^{4} \cdot 5 \cdot 13^{2} \)	\( 2^{4} \cdot 5^{2} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$260$	$12$	$0$	$1$	$1$		$0$	$19968$	$1.072758$	$7311616/25$	$0.98811$	$4.11033$	$[0, 1, 0, -9520, -359657]$	\(y^2=x^3+x^2-9520x-359657\)	2.2.0.a.1, 20.4.0-2.a.1.1, 26.6.0.a.1, 260.12.0.?	$[]$
33800.q1	33800r1	33800.q	33800r	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 13^{2} \)	\( 2^{4} \cdot 5^{8} \cdot 13^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$52$	$12$	$0$	$0.714418363$	$1$		$8$	$18432$	$0.595001$	$7311616/25$	$0.98811$	$3.19941$	$[0, 1, 0, -1408, 19813]$	\(y^2=x^3+x^2-1408x+19813\)	2.2.0.a.1, 26.6.0.a.1, 52.12.0-26.a.1.1	$[(18, 25), (3, 125)]$
33800.w1	33800e1	33800.w	33800e	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 13^{2} \)	\( 2^{4} \cdot 5^{8} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	4.4.0.2	2Cn	$52$	$12$	$0$	$2.220073835$	$1$		$4$	$239616$	$1.877476$	$7311616/25$	$0.98811$	$4.67518$	$[0, 1, 0, -238008, 44481113]$	\(y^2=x^3+x^2-238008x+44481113\)	2.2.0.a.1, 4.4.0-2.a.1.1, 26.6.0.a.1, 52.12.0-26.a.1.3	$[(268, 125)]$
54080.ba1	54080cb1	54080.ba	54080cb	$1$	$1$	\( 2^{6} \cdot 5 \cdot 13^{2} \)	\( 2^{10} \cdot 5^{2} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$520$	$12$	$0$	$1$	$4$	$2$	$0$	$159744$	$1.419331$	$7311616/25$	$0.98811$	$3.96909$	$[0, -1, 0, -38081, -2839175]$	\(y^2=x^3-x^2-38081x-2839175\)	2.2.0.a.1, 26.6.0.a.1, 40.4.0-2.a.1.1, 520.12.0.?	$[]$
54080.bd1	54080db1	54080.bd	54080db	$1$	$1$	\( 2^{6} \cdot 5 \cdot 13^{2} \)	\( 2^{10} \cdot 5^{2} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$520$	$12$	$0$	$1.491738341$	$1$		$2$	$12288$	$0.136856$	$7311616/25$	$0.98811$	$2.55696$	$[0, -1, 0, -225, -1223]$	\(y^2=x^3-x^2-225x-1223\)	2.2.0.a.1, 26.6.0.a.1, 520.12.0.?	$[(-8, 1)]$
54080.cf1	54080i1	54080.cf	54080i	$1$	$1$	\( 2^{6} \cdot 5 \cdot 13^{2} \)	\( 2^{10} \cdot 5^{2} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$520$	$12$	$0$	$3.400508447$	$1$		$2$	$159744$	$1.419331$	$7311616/25$	$0.98811$	$3.96909$	$[0, 1, 0, -38081, 2839175]$	\(y^2=x^3+x^2-38081x+2839175\)	2.2.0.a.1, 26.6.0.a.1, 40.4.0-2.a.1.1, 520.12.0.?	$[(122, 155)]$
54080.co1	54080bg1	54080.co	54080bg	$1$	$1$	\( 2^{6} \cdot 5 \cdot 13^{2} \)	\( 2^{10} \cdot 5^{2} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$520$	$12$	$0$	$1$	$1$		$0$	$12288$	$0.136856$	$7311616/25$	$0.98811$	$2.55696$	$[0, 1, 0, -225, 1223]$	\(y^2=x^3+x^2-225x+1223\)	2.2.0.a.1, 26.6.0.a.1, 520.12.0.?	$[]$
60840.b1	60840p1	60840.b	60840p	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 13^{8} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$780$	$12$	$0$	$2.514513860$	$1$		$10$	$299520$	$1.622063$	$7311616/25$	$0.98811$	$4.14750$	$[0, 0, 0, -85683, -9625057]$	\(y^2=x^3-85683x-9625057\)	2.2.0.a.1, 26.6.0.a.1, 60.4.0-2.a.1.1, 780.12.0.?	$[(-169, 169), (-166, 155)]$
60840.bz1	60840bx1	60840.bz	60840bx	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$780$	$12$	$0$	$1$	$1$		$0$	$23040$	$0.339589$	$7311616/25$	$0.98811$	$2.75047$	$[0, 0, 0, -507, -4381]$	\(y^2=x^3-507x-4381\)	2.2.0.a.1, 26.6.0.a.1, 780.12.0.?	$[]$
67600.ba1	67600l1	67600.ba	67600l	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 13^{2} \)	\( 2^{4} \cdot 5^{8} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	4.4.0.2	2Cn	$52$	$12$	$0$	$2.572134389$	$1$		$2$	$479232$	$1.877476$	$7311616/25$	$0.98811$	$4.38380$	$[0, -1, 0, -238008, -44481113]$	\(y^2=x^3-x^2-238008x-44481113\)	2.2.0.a.1, 4.4.0-2.a.1.1, 26.6.0.a.1, 52.12.0-26.a.1.4	$[(-293, 125)]$
67600.bn1	67600i1	67600.bn	67600i	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 13^{2} \)	\( 2^{4} \cdot 5^{8} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$52$	$12$	$0$	$1.810034777$	$1$		$2$	$36864$	$0.595001$	$7311616/25$	$0.98811$	$3.00000$	$[0, -1, 0, -1408, -19813]$	\(y^2=x^3-x^2-1408x-19813\)	2.2.0.a.1, 26.6.0.a.1, 52.12.0-26.a.1.2	$[(47, 125)]$
121680.co1	121680u1	121680.co	121680u	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$780$	$12$	$0$	$1$	$1$		$0$	$599040$	$1.622063$	$7311616/25$	$0.98811$	$3.90198$	$[0, 0, 0, -85683, 9625057]$	\(y^2=x^3-85683x+9625057\)	2.2.0.a.1, 26.6.0.a.1, 60.4.0-2.a.1.1, 780.12.0.?	$[]$
121680.de1	121680bt1	121680.de	121680bt	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$780$	$12$	$0$	$1.191313597$	$1$		$2$	$46080$	$0.339589$	$7311616/25$	$0.98811$	$2.58765$	$[0, 0, 0, -507, 4381]$	\(y^2=x^3-507x+4381\)	2.2.0.a.1, 26.6.0.a.1, 780.12.0.?	$[(12, 5)]$
270400.cv1	270400cv1	270400.cv	270400cv	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 13^{2} \)	\( 2^{10} \cdot 5^{8} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$104$	$12$	$0$	$1.156765239$	$1$		$2$	$294912$	$0.941575$	$7311616/25$	$0.98811$	$3.00000$	$[0, -1, 0, -5633, 164137]$	\(y^2=x^3-x^2-5633x+164137\)	2.2.0.a.1, 26.6.0.a.1, 104.12.0.?	$[(32, 125)]$
270400.dz1	270400dz1	270400.dz	270400dz	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 13^{2} \)	\( 2^{10} \cdot 5^{8} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.4.0.1	2Cn	$104$	$12$	$0$	$1.436400626$	$1$		$0$	$3833856$	$2.224049$	$7311616/25$	$0.98811$	$4.23042$	$[0, -1, 0, -952033, 356800937]$	\(y^2=x^3-x^2-952033x+356800937\)	2.2.0.a.1, 8.4.0-2.a.1.1, 26.6.0.a.1, 104.12.0.?	$[(1973/2, 21125/2)]$
270400.gn1	270400gn1	270400.gn	270400gn	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 13^{2} \)	\( 2^{10} \cdot 5^{8} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.4.0.1	2Cn	$104$	$12$	$0$	$1$	$1$		$0$	$3833856$	$2.224049$	$7311616/25$	$0.98811$	$4.23042$	$[0, 1, 0, -952033, -356800937]$	\(y^2=x^3+x^2-952033x-356800937\)	2.2.0.a.1, 8.4.0-2.a.1.1, 26.6.0.a.1, 104.12.0.?	$[]$
270400.hr1	270400hr1	270400.hr	270400hr	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 13^{2} \)	\( 2^{10} \cdot 5^{8} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$104$	$12$	$0$	$1$	$1$		$0$	$294912$	$0.941575$	$7311616/25$	$0.98811$	$3.00000$	$[0, 1, 0, -5633, -164137]$	\(y^2=x^3+x^2-5633x-164137\)	2.2.0.a.1, 26.6.0.a.1, 104.12.0.?	$[]$
304200.bi1	304200bi1	304200.bi	304200bi	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \)	\( 2^{4} \cdot 3^{6} \cdot 5^{8} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$156$	$12$	$0$	$1$	$1$		$0$	$552960$	$1.144308$	$7311616/25$	$0.98811$	$3.16470$	$[0, 0, 0, -12675, -547625]$	\(y^2=x^3-12675x-547625\)	2.2.0.a.1, 26.6.0.a.1, 156.12.0.?	$[]$
304200.ev1	304200ev1	304200.ev	304200ev	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \)	\( 2^{4} \cdot 3^{6} \cdot 5^{8} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$156$	$12$	$0$	$9.076374716$	$1$		$2$	$7188480$	$2.426781$	$7311616/25$	$0.98811$	$4.38365$	$[0, 0, 0, -2142075, -1203132125]$	\(y^2=x^3-2142075x-1203132125\)	2.2.0.a.1, 12.4.0-2.a.1.1, 26.6.0.a.1, 156.12.0.?	$[(137445, 50952875)]$
331240.bv1	331240bv1	331240.bv	331240bv	$1$	$1$	\( 2^{3} \cdot 5 \cdot 7^{2} \cdot 13^{2} \)	\( 2^{4} \cdot 5^{2} \cdot 7^{6} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$1820$	$12$	$0$	$11.02371574$	$1$		$0$	$3294720$	$2.045712$	$7311616/25$	$0.98811$	$3.99451$	$[0, 1, 0, -466496, -122429371]$	\(y^2=x^3+x^2-466496x-122429371\)	2.2.0.a.1, 26.6.0.a.1, 140.4.0.?, 1820.12.0.?	$[(-260971/26, 9228185/26)]$
331240.bx1	331240bx1	331240.bx	331240bx	$1$	$1$	\( 2^{3} \cdot 5 \cdot 7^{2} \cdot 13^{2} \)	\( 2^{4} \cdot 5^{2} \cdot 7^{6} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$1820$	$12$	$0$	$2.411658856$	$1$		$4$	$253440$	$0.763238$	$7311616/25$	$0.98811$	$2.78373$	$[0, 1, 0, -2760, -56575]$	\(y^2=x^3+x^2-2760x-56575\)	2.2.0.a.1, 26.6.0.a.1, 1820.12.0.?	$[(-32, 1)]$
486720.bs1	486720bs1	486720.bs	486720bs	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$1560$	$12$	$0$	$2.012958375$	$1$		$2$	$368640$	$0.686162$	$7311616/25$	$0.98811$	$2.63130$	$[0, 0, 0, -2028, 35048]$	\(y^2=x^3-2028x+35048\)	2.2.0.a.1, 26.6.0.a.1, 1560.12.0.?	$[(29, 25)]$
486720.gr1	486720gr1	486720.gr	486720gr	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 13^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$1560$	$12$	$0$	$11.36736401$	$1$		$2$	$368640$	$0.686162$	$7311616/25$	$0.98811$	$2.63130$	$[0, 0, 0, -2028, -35048]$	\(y^2=x^3-2028x-35048\)	2.2.0.a.1, 26.6.0.a.1, 1560.12.0.?	$[(-27, 5), (-399/4, 265/4)]$
486720.kc1	486720kc1	486720.kc	486720kc	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$1560$	$12$	$0$	$20.64458880$	$1$		$0$	$4792320$	$1.968637$	$7311616/25$	$0.98811$	$3.80649$	$[0, 0, 0, -342732, -77000456]$	\(y^2=x^3-342732x-77000456\)	2.2.0.a.1, 26.6.0.a.1, 120.4.0.?, 1560.12.0.?	$[(-1734328755/2309, 3185960584217/2309)]$
486720.pg1	486720pg1	486720.pg	486720pg	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	2.2.0.1	2Cn	$1560$	$12$	$0$	$1$	$1$		$0$	$4792320$	$1.968637$	$7311616/25$	$0.98811$	$3.80649$	$[0, 0, 0, -342732, 77000456]$	\(y^2=x^3-342732x+77000456\)	2.2.0.a.1, 26.6.0.a.1, 120.4.0.?, 1560.12.0.?	$[]$