Elliptic curve search results

Results (18 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
23100.m1	23100q2	23100.m	23100q	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{8} \cdot 3^{5} \cdot 5^{9} \cdot 7^{2} \cdot 11^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$4.143198154$	$1$		$3$	$268800$	$1.949455$	$449955166736/174330387$	$0.96909$	$4.66406$	$[0, -1, 0, -126708, -9938088]$	\(y^2=x^3-x^2-126708x-9938088\)	2.3.0.a.1, 60.6.0.a.1, 84.6.0.?, 140.6.0.?, 420.12.0.?	$[(-259, 2332)]$
23100.bc1	23100bg2	23100.bc	23100bg	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{8} \cdot 3^{5} \cdot 5^{3} \cdot 7^{2} \cdot 11^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$0.187656954$	$1$		$13$	$53760$	$1.144737$	$449955166736/174330387$	$0.96909$	$3.70297$	$[0, 1, 0, -5068, -81532]$	\(y^2=x^3+x^2-5068x-81532\)	2.3.0.a.1, 60.6.0.a.1, 84.6.0.?, 140.6.0.?, 420.12.0.?	$[(-28, 198)]$
69300.o1	69300cg2	69300.o	69300cg	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{8} \cdot 3^{11} \cdot 5^{3} \cdot 7^{2} \cdot 11^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$1$	$1$		$1$	$430080$	$1.694042$	$449955166736/174330387$	$0.96909$	$3.92937$	$[0, 0, 0, -45615, 2155750]$	\(y^2=x^3-45615x+2155750\)	2.3.0.a.1, 60.6.0.a.1, 84.6.0.?, 140.6.0.?, 420.12.0.?	$[]$
69300.bm1	69300cm2	69300.bm	69300cm	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{8} \cdot 3^{11} \cdot 5^{9} \cdot 7^{2} \cdot 11^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$1.276464028$	$1$		$7$	$2150400$	$2.498760$	$449955166736/174330387$	$0.96909$	$4.79573$	$[0, 0, 0, -1140375, 269468750]$	\(y^2=x^3-1140375x+269468750\)	2.3.0.a.1, 60.6.0.a.1, 84.6.0.?, 140.6.0.?, 420.12.0.?	$[(-125, 20250)]$
92400.cs1	92400fo2	92400.cs	92400fo	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{8} \cdot 3^{5} \cdot 5^{3} \cdot 7^{2} \cdot 11^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$1$	$1$		$1$	$215040$	$1.144737$	$449955166736/174330387$	$0.96909$	$3.25400$	$[0, -1, 0, -5068, 81532]$	\(y^2=x^3-x^2-5068x+81532\)	2.3.0.a.1, 60.6.0.a.1, 84.6.0.?, 140.6.0.?, 420.12.0.?	$[]$
92400.ef1	92400hw2	92400.ef	92400hw	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{8} \cdot 3^{5} \cdot 5^{9} \cdot 7^{2} \cdot 11^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$1$	$1$		$1$	$1075200$	$1.949455$	$449955166736/174330387$	$0.96909$	$4.09857$	$[0, 1, 0, -126708, 9938088]$	\(y^2=x^3+x^2-126708x+9938088\)	2.3.0.a.1, 60.6.0.a.1, 84.6.0.?, 140.6.0.?, 420.12.0.?	$[]$
161700.bp1	161700cl2	161700.bp	161700cl	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{8} \cdot 3^{5} \cdot 5^{3} \cdot 7^{8} \cdot 11^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$0.972316461$	$1$		$7$	$2580480$	$2.117691$	$449955166736/174330387$	$0.96909$	$4.07566$	$[0, -1, 0, -248348, 27468792]$	\(y^2=x^3-x^2-248348x+27468792\)	2.3.0.a.1, 60.6.0.a.1, 84.6.0.?, 140.6.0.?, 420.12.0.?	$[(502, 5390)]$
161700.ev1	161700e2	161700.ev	161700e	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{8} \cdot 3^{5} \cdot 5^{9} \cdot 7^{8} \cdot 11^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$1$	$1$		$1$	$12902400$	$2.922409$	$449955166736/174330387$	$0.96909$	$4.88081$	$[0, 1, 0, -6208708, 3421181588]$	\(y^2=x^3+x^2-6208708x+3421181588\)	2.3.0.a.1, 60.6.0.a.1, 84.6.0.?, 140.6.0.?, 420.12.0.?	$[]$
254100.y1	254100y2	254100.y	254100y	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11^{2} \)	\( 2^{8} \cdot 3^{5} \cdot 5^{9} \cdot 7^{2} \cdot 11^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$1$	$1$		$1$	$32256000$	$3.148403$	$449955166736/174330387$	$0.96909$	$4.92146$	$[0, -1, 0, -15331708, 13288921912]$	\(y^2=x^3-x^2-15331708x+13288921912\)	2.3.0.a.1, 60.6.0.a.1, 84.6.0.?, 140.6.0.?, 420.12.0.?	$[]$
254100.cu1	254100cu2	254100.cu	254100cu	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11^{2} \)	\( 2^{8} \cdot 3^{5} \cdot 5^{3} \cdot 7^{2} \cdot 11^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$1$	$1$		$1$	$6451200$	$2.343685$	$449955166736/174330387$	$0.96909$	$4.14554$	$[0, 1, 0, -613268, 106066068]$	\(y^2=x^3+x^2-613268x+106066068\)	2.3.0.a.1, 60.6.0.a.1, 84.6.0.?, 140.6.0.?, 420.12.0.?	$[]$
277200.dp1	277200dp2	277200.dp	277200dp	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{8} \cdot 3^{11} \cdot 5^{9} \cdot 7^{2} \cdot 11^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$4.107360858$	$1$		$3$	$8601600$	$2.498760$	$449955166736/174330387$	$0.96909$	$4.26525$	$[0, 0, 0, -1140375, -269468750]$	\(y^2=x^3-1140375x-269468750\)	2.3.0.a.1, 60.6.0.a.1, 84.6.0.?, 140.6.0.?, 420.12.0.?	$[(-646, 14058)]$
277200.nx1	277200nx2	277200.nx	277200nx	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{8} \cdot 3^{11} \cdot 5^{3} \cdot 7^{2} \cdot 11^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$1$	$1$		$1$	$1720320$	$1.694042$	$449955166736/174330387$	$0.96909$	$3.49472$	$[0, 0, 0, -45615, -2155750]$	\(y^2=x^3-45615x-2155750\)	2.3.0.a.1, 60.6.0.a.1, 84.6.0.?, 140.6.0.?, 420.12.0.?	$[]$
369600.c1	369600c2	369600.c	369600c	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{14} \cdot 3^{5} \cdot 5^{3} \cdot 7^{2} \cdot 11^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$1$	$1$		$1$	$1720320$	$1.491310$	$449955166736/174330387$	$0.96909$	$3.22654$	$[0, -1, 0, -20273, -631983]$	\(y^2=x^3-x^2-20273x-631983\)	2.3.0.a.1, 60.6.0.a.1, 84.6.0.?, 140.6.0.?, 420.12.0.?	$[]$
369600.gn1	369600gn2	369600.gn	369600gn	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{14} \cdot 3^{5} \cdot 5^{9} \cdot 7^{2} \cdot 11^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$1$	$1$		$1$	$8601600$	$2.296028$	$449955166736/174330387$	$0.96909$	$3.97977$	$[0, -1, 0, -506833, 80011537]$	\(y^2=x^3-x^2-506833x+80011537\)	2.3.0.a.1, 60.6.0.a.1, 84.6.0.?, 140.6.0.?, 420.12.0.?	$[]$
369600.ui1	369600ui2	369600.ui	369600ui	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{14} \cdot 3^{5} \cdot 5^{9} \cdot 7^{2} \cdot 11^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$1$	$1$		$1$	$8601600$	$2.296028$	$449955166736/174330387$	$0.96909$	$3.97977$	$[0, 1, 0, -506833, -80011537]$	\(y^2=x^3+x^2-506833x-80011537\)	2.3.0.a.1, 60.6.0.a.1, 84.6.0.?, 140.6.0.?, 420.12.0.?	$[]$
369600.uj1	369600uj2	369600.uj	369600uj	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{14} \cdot 3^{5} \cdot 5^{3} \cdot 7^{2} \cdot 11^{4} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$0.482544152$	$1$		$29$	$1720320$	$1.491310$	$449955166736/174330387$	$0.96909$	$3.22654$	$[0, 1, 0, -20273, 631983]$	\(y^2=x^3+x^2-20273x+631983\)	2.3.0.a.1, 60.6.0.a.1, 84.6.0.?, 140.6.0.?, 420.12.0.?	$[(-77, 1320), (19, 504)]$
485100.c1	485100c2	485100.c	485100c	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{8} \cdot 3^{11} \cdot 5^{3} \cdot 7^{8} \cdot 11^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$2.453460575$	$1$		$3$	$20643840$	$2.666996$	$449955166736/174330387$	$0.96909$	$4.23714$	$[0, 0, 0, -2235135, -739422250]$	\(y^2=x^3-2235135x-739422250\)	2.3.0.a.1, 60.6.0.a.1, 84.6.0.?, 140.6.0.?, 420.12.0.?	$[(9814, 960498)]$
485100.dm1	485100dm2	485100.dm	485100dm	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{8} \cdot 3^{11} \cdot 5^{9} \cdot 7^{8} \cdot 11^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$8.103979565$	$1$		$1$	$103219200$	$3.471718$	$449955166736/174330387$	$0.96909$	$4.97473$	$[0, 0, 0, -55878375, -92427781250]$	\(y^2=x^3-55878375x-92427781250\)	2.3.0.a.1, 60.6.0.a.1, 84.6.0.?, 140.6.0.?, 420.12.0.?	$[(-457625/9, 151054750/9)]$