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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 242760d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 242760.d1 | 242760d1 | \([0, -1, 0, 8658344, 17809325125]\) | \(2225455810304/5537109375\) | \(-178604459617903593750000\) | \([]\) | \(24675840\) | \(3.1455\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 242760d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 242760d do not have complex multiplication.Modular form 242760.2.a.d
sage: E.q_eigenform(10)