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SageMath
E = EllipticCurve("ea1")
E.isogeny_class()
Elliptic curves in class 473200.ea
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 473200.ea1 | 473200ea1 | \([0, 0, 0, -845, -10985]\) | \(-34560/7\) | \(-13515065200\) | \([]\) | \(276480\) | \(0.66640\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 473200.ea1 has rank \(1\).
Complex multiplication
The elliptic curves in class 473200.ea do not have complex multiplication.Modular form 473200.2.a.ea
sage: E.q_eigenform(10)