Elliptic curve isogeny class with Cremona label 65072c (LMFDB label 65072.a)

• Label: 65072c
• Number of curves: $1$
• Conductor: $65072$
• CM: no
• Rank: $0$

Rank

The elliptic curve 65072c1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(7\)	\(1\)
\(83\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 + T + 3 T^{2}\)	1.3.b
\(5\)	\( 1 + 3 T + 5 T^{2}\)	1.5.d
\(11\)	\( 1 + T + 11 T^{2}\)	1.11.b
\(13\)	\( 1 + 2 T + 13 T^{2}\)	1.13.c
\(17\)	\( 1 + T + 17 T^{2}\)	1.17.b
\(19\)	\( 1 + T + 19 T^{2}\)	1.19.b
\(23\)	\( 1 - 9 T + 23 T^{2}\)	1.23.aj
\(29\)	\( 1 - 2 T + 29 T^{2}\)	1.29.ac
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 65072c do not have complex multiplication.

Modular form 65072.2.a.c

Elliptic curves in class 65072c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
65072.a1	65072c1	\([0, 0, 0, -343, 3430]\)	\(-148176/83\)	\(-2499805952\)	\([]\)	\(74880\)	\(0.50657\)	\(\Gamma_0(N)\)-optimal