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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 388416e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
388416.e1 | 388416e1 | \([0, -1, 0, 147583, -576159]\) | \(449455096/260253\) | \(-205844471642750976\) | \([]\) | \(3612672\) | \(2.0116\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 388416e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 388416e do not have complex multiplication.Modular form 388416.2.a.e
sage: E.q_eigenform(10)