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.s1	47190q1	47190.s	47190q	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \)	\( - 2^{29} \cdot 3^{9} \cdot 5^{2} \cdot 11^{8} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$15.84511681$	$1$		$0$	$7717248$	$3.266499$	$3372036481719478199/3434349802291200$	$1.00577$	$5.74666$	$[1, 1, 0, 18696918, -27118513836]$	\(y^2+xy=x^3+x^2+18696918x-27118513836\)	312.2.0.?	$[(121378223/289, 1331790059574/289)]$
47190.bw1	47190cg1	47190.bw	47190cg	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \)	\( - 2^{29} \cdot 3^{9} \cdot 5^{2} \cdot 11^{2} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$0.658256283$	$1$		$6$	$701568$	$2.067551$	$3372036481719478199/3434349802291200$	$1.00577$	$4.40979$	$[1, 1, 1, 154520, 20444777]$	\(y^2+xy+y=x^3+x^2+154520x+20444777\)	312.2.0.?	$[(37, 5101)]$
141570.c1	141570dn1	141570.c	141570dn	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \)	\( - 2^{29} \cdot 3^{15} \cdot 5^{2} \cdot 11^{2} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$1$	$1$		$0$	$5612544$	$2.616856$	$3372036481719478199/3434349802291200$	$1.00577$	$4.55708$	$[1, -1, 0, 1390680, -550618304]$	\(y^2+xy=x^3-x^2+1390680x-550618304\)	312.2.0.?	$[]$
141570.dq1	141570cb1	141570.dq	141570cb	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \)	\( - 2^{29} \cdot 3^{15} \cdot 5^{2} \cdot 11^{8} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$1$	$1$		$0$	$61737984$	$3.815804$	$3372036481719478199/3434349802291200$	$1.00577$	$5.77013$	$[1, -1, 1, 168272257, 732368145831]$	\(y^2+xy+y=x^3-x^2+168272257x+732368145831\)	312.2.0.?	$[]$
235950.ef1	235950ef1	235950.ef	235950ef	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \)	\( - 2^{29} \cdot 3^{9} \cdot 5^{8} \cdot 11^{2} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$5.065347202$	$1$		$0$	$16837632$	$2.872269$	$3372036481719478199/3434349802291200$	$1.00577$	$4.61666$	$[1, 0, 1, 3862999, 2547871148]$	\(y^2+xy+y=x^3+3862999x+2547871148\)	312.2.0.?	$[(-1497/2, 260693/2)]$
235950.gx1	235950gx1	235950.gx	235950gx	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \)	\( - 2^{29} \cdot 3^{9} \cdot 5^{8} \cdot 11^{8} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$0.365709535$	$1$		$6$	$185213952$	$4.071213$	$3372036481719478199/3434349802291200$	$1.00577$	$5.77962$	$[1, 0, 0, 467422937, -3390749075383]$	\(y^2+xy=x^3+467422937x-3390749075383\)	312.2.0.?	$[(20822, 3909989)]$
377520.ga1	377520ga1	377520.ga	377520ga	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \)	\( - 2^{41} \cdot 3^{9} \cdot 5^{2} \cdot 11^{8} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$7.805692450$	$1$		$2$	$185213952$	$3.959644$	$3372036481719478199/3434349802291200$	$1.00577$	$5.46382$	$[0, 1, 0, 299150680, 1736183186868]$	\(y^2=x^3+x^2+299150680x+1736183186868\)	312.2.0.?	$[(14596, 3035190)]$
377520.hw1	377520hw1	377520.hw	377520hw	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \)	\( - 2^{41} \cdot 3^{9} \cdot 5^{2} \cdot 11^{2} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$1$	$1$		$0$	$16837632$	$2.760696$	$3372036481719478199/3434349802291200$	$1.00577$	$4.34343$	$[0, 1, 0, 2472320, -1303521100]$	\(y^2=x^3+x^2+2472320x-1303521100\)	312.2.0.?	$[]$