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SageMath
sage: E = EllipticCurve("k1")
sage: E.isogeny_class()
Elliptic curves in class 62400.k
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 62400.k1 | 62400el1 | \([0, -1, 0, 1247, 136417]\) | \(261568120/10024911\) | \(-8212407091200\) | \([]\) | \(103680\) | \(1.1579\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 62400.k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 62400.k do not have complex multiplication.Modular form 62400.2.a.k
sage: E.q_eigenform(10)