Elliptic curve isogeny class with Cremona label 346560k (LMFDB label 346560.k)

• Label: 346560k
• Number of curves: $1$
• Conductor: $346560$
• CM: no
• Rank: $2$

Rank

The elliptic curve 346560k1 has rank \(2\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1 + T\)
\(5\)	\(1 + T\)
\(19\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 + 3 T + 7 T^{2}\)	1.7.d
\(11\)	\( 1 + 11 T^{2}\)	1.11.a
\(13\)	\( 1 - T + 13 T^{2}\)	1.13.ab
\(17\)	\( 1 + 6 T + 17 T^{2}\)	1.17.g
\(23\)	\( 1 + 4 T + 23 T^{2}\)	1.23.e
\(29\)	\( 1 + 2 T + 29 T^{2}\)	1.29.c
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 346560k do not have complex multiplication.

Modular form 346560.2.a.k

Elliptic curves in class 346560k

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
346560.k1	346560k1	\([0, -1, 0, 100599, -50694615]\)	\(1618496/16875\)	\(-1173903877393920000\)	\([]\)	\(4202496\)	\(2.1483\)	\(\Gamma_0(N)\)-optimal