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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 386631e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
386631.e1 | 386631e1 | \([0, 0, 1, -137541, 23023948]\) | \(-8390176768/1821771\) | \(-62480273001257979\) | \([]\) | \(5660928\) | \(1.9437\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 386631e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 386631e do not have complex multiplication.Modular form 386631.2.a.e
sage: E.q_eigenform(10)