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SageMath
E = EllipticCurve("ec1")
E.isogeny_class()
Elliptic curves in class 210672.ec
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 210672.ec1 | 210672df1 | \([0, 0, 0, 5616, 259632]\) | \(242970624/501809\) | \(-40456628416512\) | \([]\) | \(599040\) | \(1.2953\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 210672.ec1 has rank \(0\).
Complex multiplication
The elliptic curves in class 210672.ec do not have complex multiplication.Modular form 210672.2.a.ec
sage: E.q_eigenform(10)