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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 296240d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 296240.d1 | 296240d1 | \([0, 0, 0, -9809707, 11825844634]\) | \(-48181043296511332209/201768035\) | \(-437187749949440\) | \([]\) | \(11943936\) | \(2.4407\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 296240d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 296240d do not have complex multiplication.Modular form 296240.2.a.d
sage: E.q_eigenform(10)