Elliptic curve isogeny class with Cremona label 305760b (LMFDB label 305760.b)

• Label: 305760b
• Number of curves: $1$
• Conductor: $305760$
• CM: no
• Rank: $1$

Rank

The elliptic curve 305760b1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1 + T\)
\(5\)	\(1 + T\)
\(7\)	\(1\)
\(13\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(11\)	\( 1 + 6 T + 11 T^{2}\)	1.11.g
\(17\)	\( 1 - 3 T + 17 T^{2}\)	1.17.ad
\(19\)	\( 1 - 7 T + 19 T^{2}\)	1.19.ah
\(23\)	\( 1 - 4 T + 23 T^{2}\)	1.23.ae
\(29\)	\( 1 - 2 T + 29 T^{2}\)	1.29.ac
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 305760b do not have complex multiplication.

Modular form 305760.2.a.b

Elliptic curves in class 305760b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
305760.b1	305760b1	\([0, -1, 0, 248904, -39711384]\)	\(11791450552/11514555\)	\(-1665319316863587840\)	\([]\)	\(4849152\)	\(2.1834\)	\(\Gamma_0(N)\)-optimal