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.m2	23100q1	23100.m	23100q	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( - 2^{4} \cdot 3^{10} \cdot 5^{9} \cdot 7 \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$8.286396308$	$1$		$1$	$134400$	$1.602882$	$56409309184/50014503$	$1.03406$	$4.18144$	$[0, -1, 0, 25167, -1129338]$	\(y^2=x^3-x^2+25167x-1129338\)	2.3.0.a.1, 60.6.0.b.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[(5497/8, 659373/8)]$
23100.bc2	23100bg1	23100.bc	23100bg	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( - 2^{4} \cdot 3^{10} \cdot 5^{3} \cdot 7 \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$0.375313909$	$1$		$11$	$26880$	$0.798162$	$56409309184/50014503$	$1.03406$	$3.22036$	$[0, 1, 0, 1007, -8632]$	\(y^2=x^3+x^2+1007x-8632\)	2.3.0.a.1, 60.6.0.b.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[(23, 165)]$
69300.o2	69300cg1	69300.o	69300cg	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( - 2^{4} \cdot 3^{16} \cdot 5^{3} \cdot 7 \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$1$	$1$		$1$	$215040$	$1.347469$	$56409309184/50014503$	$1.03406$	$3.49433$	$[0, 0, 0, 9060, 242125]$	\(y^2=x^3+9060x+242125\)	2.3.0.a.1, 60.6.0.b.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[]$
69300.bm2	69300cm1	69300.bm	69300cm	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( - 2^{4} \cdot 3^{16} \cdot 5^{9} \cdot 7 \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$2.552928056$	$1$		$5$	$1075200$	$2.152187$	$56409309184/50014503$	$1.03406$	$4.36069$	$[0, 0, 0, 226500, 30265625]$	\(y^2=x^3+226500x+30265625\)	2.3.0.a.1, 60.6.0.b.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[(250, 10125)]$
92400.cs2	92400fo1	92400.cs	92400fo	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( - 2^{4} \cdot 3^{10} \cdot 5^{3} \cdot 7 \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$1$	$1$		$1$	$107520$	$0.798162$	$56409309184/50014503$	$1.03406$	$2.82991$	$[0, -1, 0, 1007, 8632]$	\(y^2=x^3-x^2+1007x+8632\)	2.3.0.a.1, 60.6.0.b.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[]$
92400.ef2	92400hw1	92400.ef	92400hw	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( - 2^{4} \cdot 3^{10} \cdot 5^{9} \cdot 7 \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$1$	$1$		$1$	$537600$	$1.602882$	$56409309184/50014503$	$1.03406$	$3.67447$	$[0, 1, 0, 25167, 1129338]$	\(y^2=x^3+x^2+25167x+1129338\)	2.3.0.a.1, 60.6.0.b.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[]$
161700.bp2	161700cl1	161700.bp	161700cl	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{4} \cdot 3^{10} \cdot 5^{3} \cdot 7^{7} \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$1.944632923$	$1$		$5$	$1290240$	$1.771118$	$56409309184/50014503$	$1.03406$	$3.67134$	$[0, -1, 0, 49327, 3059442]$	\(y^2=x^3-x^2+49327x+3059442\)	2.3.0.a.1, 60.6.0.b.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[(-9, 1617)]$
161700.ev2	161700e1	161700.ev	161700e	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{4} \cdot 3^{10} \cdot 5^{9} \cdot 7^{7} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$1$	$1$		$1$	$6451200$	$2.575836$	$56409309184/50014503$	$1.03406$	$4.47650$	$[0, 1, 0, 1233167, 384896588]$	\(y^2=x^3+x^2+1233167x+384896588\)	2.3.0.a.1, 60.6.0.b.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[]$
254100.y2	254100y1	254100.y	254100y	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{10} \cdot 5^{9} \cdot 7 \cdot 11^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$1$	$1$		$1$	$16128000$	$2.801830$	$56409309184/50014503$	$1.03406$	$4.53183$	$[0, -1, 0, 3045167, 1490968162]$	\(y^2=x^3-x^2+3045167x+1490968162\)	2.3.0.a.1, 60.6.0.b.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[]$
254100.cu2	254100cu1	254100.cu	254100cu	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{10} \cdot 5^{3} \cdot 7 \cdot 11^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$1$	$1$		$1$	$3225600$	$1.997110$	$56409309184/50014503$	$1.03406$	$3.75591$	$[0, 1, 0, 121807, 11976468]$	\(y^2=x^3+x^2+121807x+11976468\)	2.3.0.a.1, 60.6.0.b.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[]$
277200.dp2	277200dp1	277200.dp	277200dp	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( - 2^{4} \cdot 3^{16} \cdot 5^{9} \cdot 7 \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$8.214721716$	$1$		$1$	$4300800$	$2.152187$	$56409309184/50014503$	$1.03406$	$3.87833$	$[0, 0, 0, 226500, -30265625]$	\(y^2=x^3+226500x-30265625\)	2.3.0.a.1, 60.6.0.b.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[(7041/4, 795839/4)]$
277200.nx2	277200nx1	277200.nx	277200nx	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( - 2^{4} \cdot 3^{16} \cdot 5^{3} \cdot 7 \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$1$	$4$	$2$	$1$	$860160$	$1.347469$	$56409309184/50014503$	$1.03406$	$3.10780$	$[0, 0, 0, 9060, -242125]$	\(y^2=x^3+9060x-242125\)	2.3.0.a.1, 60.6.0.b.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[]$
369600.c2	369600c1	369600.c	369600c	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( - 2^{10} \cdot 3^{10} \cdot 5^{3} \cdot 7 \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$1$	$1$		$1$	$860160$	$1.144737$	$56409309184/50014503$	$1.03406$	$2.84830$	$[0, -1, 0, 4027, -73083]$	\(y^2=x^3-x^2+4027x-73083\)	2.3.0.a.1, 60.6.0.b.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[]$
369600.gn2	369600gn1	369600.gn	369600gn	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( - 2^{10} \cdot 3^{10} \cdot 5^{9} \cdot 7 \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$1$	$4$	$2$	$1$	$4300800$	$1.949455$	$56409309184/50014503$	$1.03406$	$3.60153$	$[0, -1, 0, 100667, 8934037]$	\(y^2=x^3-x^2+100667x+8934037\)	2.3.0.a.1, 60.6.0.b.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[]$
369600.ui2	369600ui1	369600.ui	369600ui	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( - 2^{10} \cdot 3^{10} \cdot 5^{9} \cdot 7 \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$1$	$1$		$1$	$4300800$	$1.949455$	$56409309184/50014503$	$1.03406$	$3.60153$	$[0, 1, 0, 100667, -8934037]$	\(y^2=x^3+x^2+100667x-8934037\)	2.3.0.a.1, 60.6.0.b.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[]$
369600.uj2	369600uj1	369600.uj	369600uj	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( - 2^{10} \cdot 3^{10} \cdot 5^{3} \cdot 7 \cdot 11^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$1.930176610$	$1$		$15$	$860160$	$1.144737$	$56409309184/50014503$	$1.03406$	$2.84830$	$[0, 1, 0, 4027, 73083]$	\(y^2=x^3+x^2+4027x+73083\)	2.3.0.a.1, 60.6.0.b.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[(19, 396), (-2, 255)]$
485100.c2	485100c1	485100.c	485100c	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{4} \cdot 3^{16} \cdot 5^{3} \cdot 7^{7} \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$4.906921150$	$1$		$3$	$10321920$	$2.320423$	$56409309184/50014503$	$1.03406$	$3.86675$	$[0, 0, 0, 443940, -83048875]$	\(y^2=x^3+443940x-83048875\)	2.3.0.a.1, 60.6.0.b.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[(415, 13140)]$
485100.dm2	485100dm1	485100.dm	485100dm	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{4} \cdot 3^{16} \cdot 5^{9} \cdot 7^{7} \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$4.051989782$	$1$		$3$	$51609600$	$3.125141$	$56409309184/50014503$	$1.03406$	$4.60434$	$[0, 0, 0, 11098500, -10381109375]$	\(y^2=x^3+11098500x-10381109375\)	2.3.0.a.1, 60.6.0.b.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[(8456, 829521)]$