Elliptic curve isogeny class with Cremona label 45968i (LMFDB label 45968.p)

• Label: 45968i
• Number of curves: $1$
• Conductor: $45968$
• CM: no
• Rank: $0$

Rank

The elliptic curve 45968i1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(13\)	\(1\)
\(17\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 + 3 T^{2}\)	1.3.a
\(5\)	\( 1 + 2 T + 5 T^{2}\)	1.5.c
\(7\)	\( 1 - 4 T + 7 T^{2}\)	1.7.ae
\(11\)	\( 1 + 2 T + 11 T^{2}\)	1.11.c
\(19\)	\( 1 + 19 T^{2}\)	1.19.a
\(23\)	\( 1 + 2 T + 23 T^{2}\)	1.23.c
\(29\)	\( 1 - 8 T + 29 T^{2}\)	1.29.ai
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 45968i do not have complex multiplication.

Modular form 45968.2.a.i

Elliptic curves in class 45968i

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
45968.p1	45968i1	\([0, 1, 0, 60784, 644372]\)	\(7433231/4352\)	\(-14541046160556032\)	\([]\)	\(359424\)	\(1.7907\)	\(\Gamma_0(N)\)-optimal