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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 92778p
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 92778.s1 | 92778p1 | \([1, 1, 1, -8882, 318611]\) | \(-15880626913/6804\) | \(-33201349524\) | \([]\) | \(147840\) | \(0.97916\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 92778p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 92778p do not have complex multiplication.Modular form 92778.2.a.p
sage: E.q_eigenform(10)