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SageMath
E = EllipticCurve("cd1")
E.isogeny_class()
Elliptic curves in class 229320cd
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 229320.db1 | 229320cd1 | \([0, 0, 0, 735588, 6304481316]\) | \(74251994112/29007265625\) | \(-17195954596804620000000\) | \([]\) | \(13305600\) | \(2.9457\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 229320cd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 229320cd do not have complex multiplication.Modular form 229320.2.a.cd
sage: E.q_eigenform(10)