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SageMath
E = EllipticCurve("ea1")
E.isogeny_class()
Elliptic curves in class 58800.ea
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
58800.ea1 | 58800cf1 | \([0, -1, 0, -34708, 2687287]\) | \(-6288640/567\) | \(-416918643750000\) | \([]\) | \(184320\) | \(1.5485\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58800.ea1 has rank \(1\).
Complex multiplication
The elliptic curves in class 58800.ea do not have complex multiplication.Modular form 58800.2.a.ea
sage: E.q_eigenform(10)