Elliptic curve isogeny class with Cremona label 78408u (LMFDB label 78408.y)

• Label: 78408u
• Number of curves: $1$
• Conductor: $78408$
• CM: no
• Rank: $1$

Rank

The elliptic curve 78408u1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1\)
\(11\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 - T + 5 T^{2}\)	1.5.ab
\(7\)	\( 1 + 7 T^{2}\)	1.7.a
\(13\)	\( 1 - 5 T + 13 T^{2}\)	1.13.af
\(17\)	\( 1 + 5 T + 17 T^{2}\)	1.17.f
\(19\)	\( 1 + 8 T + 19 T^{2}\)	1.19.i
\(23\)	\( 1 - 4 T + 23 T^{2}\)	1.23.ae
\(29\)	\( 1 - 3 T + 29 T^{2}\)	1.29.ad
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 78408u do not have complex multiplication.

Modular form 78408.2.a.u

Elliptic curves in class 78408u

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
78408.y1	78408u1	\([0, 0, 0, -395307, -113057802]\)	\(-4356\)	\(-1568336880910795776\)	\([]\)	\(1026432\)	\(2.2111\)	\(\Gamma_0(N)\)-optimal