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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 485100e
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 485100.e1 | 485100e1 | \([0, 0, 0, -21655363800, 1227142360874500]\) | \(-3273741656681120014336/1733575611796875\) | \(-594728222736079234687500000000\) | \([]\) | \(836075520\) | \(4.6631\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 485100e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 485100e do not have complex multiplication.Modular form 485100.2.a.e
sage: E.q_eigenform(10)