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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 488072.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
488072.e1 | 488072e1 | \([0, -1, 0, -71712, -7367699]\) | \(1462911232\) | \(27879648784\) | \([]\) | \(1034208\) | \(1.3192\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 488072.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 488072.e do not have complex multiplication.Modular form 488072.2.a.e
sage: E.q_eigenform(10)