Elliptic curve isogeny class with Cremona label 50700l (LMFDB label 50700.m)

• Label: 50700l
• Number of curves: $1$
• Conductor: $50700$
• CM: no
• Rank: $1$

Rank

The elliptic curve 50700l1 has rank \(1\).

L-function data

Bad L-factors:

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

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 + 7 T^{2}\)	1.7.a
\(11\)	\( 1 - 2 T + 11 T^{2}\)	1.11.ac
\(17\)	\( 1 + 17 T^{2}\)	1.17.a
\(19\)	\( 1 - 5 T + 19 T^{2}\)	1.19.af
\(23\)	\( 1 - 8 T + 23 T^{2}\)	1.23.ai
\(29\)	\( 1 - 6 T + 29 T^{2}\)	1.29.ag
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 50700l do not have complex multiplication.

Modular form 50700.2.a.l

Elliptic curves in class 50700l

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
50700.m1	50700l1	\([0, -1, 0, -20230708, 30430819912]\)	\(11225615440/1594323\)	\(130053825029688300000000\)	\([]\)	\(3650400\)	\(3.1610\)	\(\Gamma_0(N)\)-optimal