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SageMath
E = EllipticCurve("ca1")
E.isogeny_class()
Elliptic curves in class 62400.ca
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 62400.ca1 | 62400bt1 | \([0, -1, 0, 767, 59137]\) | \(304175/9477\) | \(-1552711680000\) | \([]\) | \(73728\) | \(1.0193\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 62400.ca1 has rank \(1\).
Complex multiplication
The elliptic curves in class 62400.ca do not have complex multiplication.Modular form 62400.2.a.ca
sage: E.q_eigenform(10)