Elliptic curve isogeny class with Cremona label 7150j (LMFDB label 7150.n)

• Label: 7150j
• Number of curves: $1$
• Conductor: $7150$
• CM: no
• Rank: $0$

Rank

The elliptic curve 7150j1 has rank \(0\).

L-function data

Bad L-factors:

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

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 - T + 3 T^{2}\)	1.3.ab
\(7\)	\( 1 + T + 7 T^{2}\)	1.7.b
\(17\)	\( 1 - 5 T + 17 T^{2}\)	1.17.af
\(19\)	\( 1 + 3 T + 19 T^{2}\)	1.19.d
\(23\)	\( 1 - 4 T + 23 T^{2}\)	1.23.ae
\(29\)	\( 1 - T + 29 T^{2}\)	1.29.ab
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 7150j do not have complex multiplication.

Modular form 7150.2.a.j

Elliptic curves in class 7150j

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
7150.n1	7150j1	\([1, -1, 0, -76417, 16583741]\)	\(-3158470573163361/5758438400000\)	\(-89975600000000000\)	\([]\)	\(149760\)	\(1.9433\)	\(\Gamma_0(N)\)-optimal