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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 69366.d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 69366.d1 | 69366d1 | \([1, 1, 0, -226105, 41287741]\) | \(1278371889198317049625/13271698835208\) | \(13271698835208\) | \([]\) | \(338688\) | \(1.6753\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 69366.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 69366.d do not have complex multiplication.Modular form 69366.2.a.d
sage: E.q_eigenform(10)