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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 296208.u
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 296208.u1 | 296208u1 | \([0, 0, 0, -2480016, 61352439676]\) | \(-5102271397888/4915446963867\) | \(-1625124430631047904287488\) | \([]\) | \(61931520\) | \(3.3247\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 296208.u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 296208.u do not have complex multiplication.Modular form 296208.2.a.u
sage: E.q_eigenform(10)