Elliptic curve isogeny class with Cremona label 118976bl (LMFDB label 118976.r)

• Label: 118976bl
• Number of curves: $1$
• Conductor: $118976$
• CM: no
• Rank: $0$

Rank

The elliptic curve 118976bl1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(11\)	\(1 - T\)
\(13\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 + 3 T^{2}\)	1.3.a
\(5\)	\( 1 + 3 T + 5 T^{2}\)	1.5.d
\(7\)	\( 1 + 7 T^{2}\)	1.7.a
\(17\)	\( 1 - 7 T + 17 T^{2}\)	1.17.ah
\(19\)	\( 1 + 8 T + 19 T^{2}\)	1.19.i
\(23\)	\( 1 + 8 T + 23 T^{2}\)	1.23.i
\(29\)	\( 1 - 9 T + 29 T^{2}\)	1.29.aj
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 118976bl do not have complex multiplication.

Modular form 118976.2.a.bl

Isogeny graph

Elliptic curves in class 118976bl

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
118976.r1	118976bl1	\([0, 1, 0, -225, -915329]\)	\(-1/286\)	\(-361881239289856\)	\([]\)	\(387072\)	\(1.4724\)	\(\Gamma_0(N)\)-optimal