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SageMath
E = EllipticCurve("cd1")
E.isogeny_class()
Elliptic curves in class 123840.cd
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 123840.cd1 | 123840bw1 | \([0, 0, 0, 2918292, 66071613872]\) | \(14382768678616871/9876709319915520\) | \(-1887468544122791940587520\) | \([]\) | \(16220160\) | \(3.3371\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 123840.cd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 123840.cd do not have complex multiplication.Modular form 123840.2.a.cd
sage: E.q_eigenform(10)