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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 7360.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7360.j1 | 7360l1 | \([0, -1, 0, 15, 25]\) | \(340736/575\) | \(-588800\) | \([]\) | \(512\) | \(-0.20785\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7360.j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 7360.j do not have complex multiplication.Modular form 7360.2.a.j
sage: E.q_eigenform(10)