Elliptic curve isogeny class with Cremona label 94815x (LMFDB label 94815.a)

• Label: 94815x
• Number of curves: $1$
• Conductor: $94815$
• CM: no
• Rank: $2$

Rank

The elliptic curve 94815x1 has rank \(2\).

L-function data

Bad L-factors:

Prime	L-Factor
\(3\)	\(1\)
\(5\)	\(1 - T\)
\(7\)	\(1\)
\(43\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(2\)	\( 1 + 2 T^{2}\)	1.2.a
\(11\)	\( 1 + 6 T + 11 T^{2}\)	1.11.g
\(13\)	\( 1 + 4 T + 13 T^{2}\)	1.13.e
\(17\)	\( 1 - 3 T + 17 T^{2}\)	1.17.ad
\(19\)	\( 1 - 2 T + 19 T^{2}\)	1.19.ac
\(23\)	\( 1 - 3 T + 23 T^{2}\)	1.23.ad
\(29\)	\( 1 - 3 T + 29 T^{2}\)	1.29.ad
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 94815x do not have complex multiplication.

Modular form 94815.2.a.x

Isogeny graph

Elliptic curves in class 94815x

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
94815.a1	94815x1	\([0, 0, 1, -16023, 825858]\)	\(-5304438784/365715\)	\(-31365956941515\)	\([]\)	\(276480\)	\(1.3408\)	\(\Gamma_0(N)\)-optimal