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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 95370f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
95370.i1 | 95370f1 | \([1, 1, 0, 37, 33]\) | \(1092727/660\) | \(-3242580\) | \([]\) | \(23040\) | \(-0.061430\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 95370f1 has rank \(2\).
Complex multiplication
The elliptic curves in class 95370f do not have complex multiplication.Modular form 95370.2.a.f
sage: E.q_eigenform(10)