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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 7360j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7360.b1 | 7360j1 | \([0, 0, 0, -292, 19624]\) | \(-2688885504/160908575\) | \(-164770380800\) | \([]\) | \(11520\) | \(0.83215\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7360j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 7360j do not have complex multiplication.Modular form 7360.2.a.j
sage: E.q_eigenform(10)