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SageMath
sage: E = EllipticCurve("c1")
sage: E.isogeny_class()
Elliptic curves in class 62400.c
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 62400.c1 | 62400gb1 | \([0, -1, 0, 4667, 2091037]\) | \(351232/59319\) | \(-1898208000000000\) | \([]\) | \(460800\) | \(1.6109\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 62400.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 62400.c do not have complex multiplication.Modular form 62400.2.a.c
sage: E.q_eigenform(10)