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SageMath
E = EllipticCurve("ea1")
E.isogeny_class()
Elliptic curves in class 46800.ea
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 46800.ea1 | 46800be1 | \([0, 0, 0, -900, 9180]\) | \(17280000/2197\) | \(10250323200\) | \([]\) | \(24192\) | \(0.64997\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 46800.ea1 has rank \(1\).
Complex multiplication
The elliptic curves in class 46800.ea do not have complex multiplication.Modular form 46800.2.a.ea
sage: E.q_eigenform(10)