Elliptic curve isogeny class with Cremona label 85176u (LMFDB label 85176.g)

• Label: 85176u
• Number of curves: $1$
• Conductor: $85176$
• CM: no
• Rank: $2$

Rank

The elliptic curve 85176u1 has rank \(2\).

L-function data

Bad L-factors:

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

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 + T + 5 T^{2}\)	1.5.b
\(11\)	\( 1 + 2 T + 11 T^{2}\)	1.11.c
\(17\)	\( 1 - 3 T + 17 T^{2}\)	1.17.ad
\(19\)	\( 1 + 8 T + 19 T^{2}\)	1.19.i
\(23\)	\( 1 + 6 T + 23 T^{2}\)	1.23.g
\(29\)	\( 1 - 9 T + 29 T^{2}\)	1.29.aj
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 85176u do not have complex multiplication.

Modular form 85176.2.a.u

Isogeny graph

Elliptic curves in class 85176u

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
85176.g1	85176u1	\([0, 0, 0, 34476, -3049436]\)	\(5030912/7371\)	\(-6639785027156736\)	\([]\)	\(516096\)	\(1.7215\)	\(\Gamma_0(N)\)-optimal