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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 436425d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 436425.d1 | 436425d1 | \([0, 1, 1, -3863952658, -92450018795156]\) | \(-2758240050247355723776/37817291221875\) | \(-87473692587533779248046875\) | \([]\) | \(574801920\) | \(4.1195\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 436425d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 436425d do not have complex multiplication.Modular form 436425.2.a.d
sage: E.q_eigenform(10)