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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 348726.d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 348726.d1 | 348726d1 | \([1, 1, 0, 11058107, 13653108301]\) | \(414246466531820520909071/462644633385482010624\) | \(-167014712652159005835264\) | \([]\) | \(46811520\) | \(3.1425\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 348726.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 348726.d do not have complex multiplication.Modular form 348726.2.a.d
sage: E.q_eigenform(10)