Elliptic curve search results

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
47190.d1	47190d1	47190.d	47190d	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \)	\( - 2^{15} \cdot 3 \cdot 5^{4} \cdot 11^{4} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$1$	$1$		$0$	$126720$	$1.187559$	$-17912342569/798720000$	$1.09746$	$3.48987$	$[1, 1, 0, -1333, 165037]$	\(y^2+xy=x^3+x^2-1333x+165037\)	312.2.0.?	$[]$
47190.bp1	47190bt1	47190.bp	47190bt	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \)	\( - 2^{15} \cdot 3 \cdot 5^{4} \cdot 11^{10} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$1$	$1$		$0$	$1393920$	$2.386509$	$-17912342569/798720000$	$1.09746$	$4.82674$	$[1, 1, 1, -161356, -220470931]$	\(y^2+xy+y=x^3+x^2-161356x-220470931\)	312.2.0.?	$[]$
141570.bw1	141570ct1	141570.bw	141570ct	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \)	\( - 2^{15} \cdot 3^{7} \cdot 5^{4} \cdot 11^{10} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$5.820949731$	$1$		$2$	$11151360$	$2.935814$	$-17912342569/798720000$	$1.09746$	$4.93542$	$[1, -1, 0, -1452204, 5951262928]$	\(y^2+xy=x^3-x^2-1452204x+5951262928\)	312.2.0.?	$[(-2053, 17654)]$
141570.er1	141570v1	141570.er	141570v	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \)	\( - 2^{15} \cdot 3^{7} \cdot 5^{4} \cdot 11^{4} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$0.223918488$	$1$		$8$	$1013760$	$1.736866$	$-17912342569/798720000$	$1.09746$	$3.72237$	$[1, -1, 1, -12002, -4467999]$	\(y^2+xy+y=x^3-x^2-12002x-4467999\)	312.2.0.?	$[(641, 15519)]$
235950.dp1	235950dp1	235950.dp	235950dp	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \)	\( - 2^{15} \cdot 3 \cdot 5^{10} \cdot 11^{10} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$82.96094025$	$1$		$0$	$33454080$	$3.191227$	$-17912342569/798720000$	$1.09746$	$4.97937$	$[1, 0, 1, -4033901, -27550798552]$	\(y^2+xy+y=x^3-4033901x-27550798552\)	312.2.0.?	$[(5115808802348007615091361988618668918/10884559224692483, 11528701007076188474245109555293752837744655417809716397/10884559224692483)]$
235950.hr1	235950hr1	235950.hr	235950hr	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \)	\( - 2^{15} \cdot 3 \cdot 5^{10} \cdot 11^{4} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$1.925146425$	$1$		$2$	$3041280$	$1.992279$	$-17912342569/798720000$	$1.09746$	$3.81642$	$[1, 0, 0, -33338, 20696292]$	\(y^2+xy=x^3-33338x+20696292\)	312.2.0.?	$[(-108, 4854)]$
377520.ec1	377520ec1	377520.ec	377520ec	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \)	\( - 2^{27} \cdot 3 \cdot 5^{4} \cdot 11^{4} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$1$	$1$		$0$	$3041280$	$1.880707$	$-17912342569/798720000$	$1.09746$	$3.57247$	$[0, 1, 0, -21336, -10605036]$	\(y^2=x^3+x^2-21336x-10605036\)	312.2.0.?	$[]$
377520.fn1	377520fn1	377520.fn	377520fn	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \)	\( - 2^{27} \cdot 3 \cdot 5^{4} \cdot 11^{10} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$15.71167328$	$1$		$0$	$33454080$	$3.079655$	$-17912342569/798720000$	$1.09746$	$4.69286$	$[0, 1, 0, -2581696, 14104976180]$	\(y^2=x^3+x^2-2581696x+14104976180\)	312.2.0.?	$[(-571106438/661, 35662403097600/661)]$