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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 3630f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3630.d1 | 3630f1 | \([1, 1, 0, -387, -2889]\) | \(53189206081/4218750\) | \(510468750\) | \([]\) | \(2016\) | \(0.41451\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3630f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3630f do not have complex multiplication.Modular form 3630.2.a.f
sage: E.q_eigenform(10)