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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 1512e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1512.f1 | 1512e1 | \([0, 0, 0, -1188, 7236]\) | \(36799488/16807\) | \(84687918336\) | \([]\) | \(1440\) | \(0.79180\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1512e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 1512e do not have complex multiplication.Modular form 1512.2.a.e
sage: E.q_eigenform(10)