Elliptic curve isogeny class with LMFDB label 74360.m (Cremona label 74360i)

• Label: 74360.m
• Number of curves: $1$
• Conductor: $74360$
• CM: no
• Rank: $1$

Rank

The elliptic curve 74360.m1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(5\)	\(1 - T\)
\(11\)	\(1 - T\)
\(13\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 - T + 3 T^{2}\)	1.3.ab
\(7\)	\( 1 - 5 T + 7 T^{2}\)	1.7.af
\(17\)	\( 1 + 3 T + 17 T^{2}\)	1.17.d
\(19\)	\( 1 + 3 T + 19 T^{2}\)	1.19.d
\(23\)	\( 1 + 6 T + 23 T^{2}\)	1.23.g
\(29\)	\( 1 + T + 29 T^{2}\)	1.29.b
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 74360.m do not have complex multiplication.

Modular form 74360.2.a.m

Elliptic curves in class 74360.m

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
74360.m1	74360i1	\([0, 1, 0, -128429240, 560451823088]\)	\(-23698747132646144258/14374305034375\)	\(-142094387012949113600000\)	\([]\)	\(11827200\)	\(3.3859\)	\(\Gamma_0(N)\)-optimal