Elliptic curves over $\Q$ of conductor 100014

Results (8 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
100014.a1	100014a1	100014.a	100014a	$1$	$1$	\( 2 \cdot 3 \cdot 79 \cdot 211 \)	\( - 2^{32} \cdot 3^{2} \cdot 79 \cdot 211 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$66676$	$2$	$0$	$1$	$1$		$0$	$520704$	$1.530100$	$916763542913931623/644335288713216$	$0.95307$	$3.59241$	$[1, 1, 0, 20239, 521685]$	\(y^2+xy=x^3+x^2+20239x+521685\)	66676.2.0.?	$[]$
100014.b1	100014b1	100014.b	100014b	$1$	$1$	\( 2 \cdot 3 \cdot 79 \cdot 211 \)	\( 2^{5} \cdot 3 \cdot 79 \cdot 211 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$400056$	$2$	$0$	$0.771377877$	$1$		$10$	$25760$	$0.002317$	$135559106353/1600224$	$0.77998$	$2.22640$	$[1, 1, 1, -107, 377]$	\(y^2+xy+y=x^3+x^2-107x+377\)	400056.2.0.?	$[(5, -2), (7, 2)]$
100014.c1	100014c2	100014.c	100014c	$2$	$2$	\( 2 \cdot 3 \cdot 79 \cdot 211 \)	\( 2^{2} \cdot 3^{6} \cdot 79 \cdot 211^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$200028$	$12$	$0$	$4.756238768$	$1$		$0$	$73728$	$0.721408$	$649304417969857/10256035644$	$0.85435$	$2.96245$	$[1, 1, 1, -1804, -29839]$	\(y^2+xy+y=x^3+x^2-1804x-29839\)	2.3.0.a.1, 316.6.0.?, 2532.6.0.?, 200028.12.0.?	$[(-203/3, 317/3)]$
100014.c2	100014c1	100014.c	100014c	$2$	$2$	\( 2 \cdot 3 \cdot 79 \cdot 211 \)	\( 2^{4} \cdot 3^{3} \cdot 79^{2} \cdot 211 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$200028$	$12$	$0$	$2.378119384$	$1$		$3$	$36864$	$0.374834$	$1243337227777/568879632$	$0.82057$	$2.41889$	$[1, 1, 1, -224, 497]$	\(y^2+xy+y=x^3+x^2-224x+497\)	2.3.0.a.1, 316.6.0.?, 1266.6.0.?, 200028.12.0.?	$[(-5, 41)]$
100014.d1	100014d1	100014.d	100014d	$1$	$1$	\( 2 \cdot 3 \cdot 79 \cdot 211 \)	\( - 2^{4} \cdot 3^{6} \cdot 79 \cdot 211 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$66676$	$2$	$0$	$0.459514252$	$1$		$6$	$49728$	$0.319060$	$-1243337227777/194427216$	$0.80620$	$2.43966$	$[1, 1, 1, -224, 1361]$	\(y^2+xy+y=x^3+x^2-224x+1361\)	66676.2.0.?	$[(3, 25)]$
100014.e1	100014f2	100014.e	100014f	$2$	$3$	\( 2 \cdot 3 \cdot 79 \cdot 211 \)	\( 2 \cdot 3^{5} \cdot 79^{3} \cdot 211^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.8.0.2	3B.1.2	$400056$	$16$	$0$	$0.771181858$	$1$		$0$	$1213920$	$1.721407$	$72918170522696196433/2250945132306174$	$0.92211$	$3.97252$	$[1, 0, 0, -87037, -9623389]$	\(y^2+xy=x^3-87037x-9623389\)	3.8.0-3.a.1.1, 400056.16.0.?	$[(4595/2, 295447/2)]$
100014.e2	100014f1	100014.e	100014f	$2$	$3$	\( 2 \cdot 3 \cdot 79 \cdot 211 \)	\( 2^{3} \cdot 3^{15} \cdot 79 \cdot 211 \)	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.8.0.1	3B.1.1	$400056$	$16$	$0$	$2.313545576$	$1$		$6$	$404640$	$1.172100$	$177444640175483953/1913455446264$	$0.89050$	$3.44977$	$[1, 0, 0, -11707, 482009]$	\(y^2+xy=x^3-11707x+482009\)	3.8.0-3.a.1.2, 400056.16.0.?	$[(68, 5)]$
100014.f1	100014e1	100014.f	100014e	$1$	$1$	\( 2 \cdot 3 \cdot 79 \cdot 211 \)	\( 2^{13} \cdot 3^{7} \cdot 79 \cdot 211 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$400056$	$2$	$0$	$0.272567573$	$1$		$22$	$148512$	$0.911431$	$1171205436932929/298640203776$	$0.86447$	$3.01369$	$[1, 0, 0, -2196, -29808]$	\(y^2+xy=x^3-2196x-29808\)	400056.2.0.?	$[(-24, 108), (72, 396)]$