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SageMath
E = EllipticCurve("ea1")
E.isogeny_class()
Elliptic curves in class 257600.ea
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 257600.ea1 | 257600ea1 | \([0, 1, 0, 2300367, -2399902387]\) | \(1346216501445963776/3268768272021875\) | \(-3268768272021875000000\) | \([]\) | \(10982400\) | \(2.8121\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 257600.ea1 has rank \(0\).
Complex multiplication
The elliptic curves in class 257600.ea do not have complex multiplication.Modular form 257600.2.a.ea
sage: E.q_eigenform(10)