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SageMath
E = EllipticCurve("ea1")
E.isogeny_class()
Elliptic curves in class 286110.ea
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
286110.ea1 | 286110ea1 | \([1, -1, 1, 45725092, -326013861473]\) | \(22253722294800933/109514680000000\) | \(-52030399348289304360000000\) | \([]\) | \(87091200\) | \(3.6168\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 286110.ea1 has rank \(0\).
Complex multiplication
The elliptic curves in class 286110.ea do not have complex multiplication.Modular form 286110.2.a.ea
sage: E.q_eigenform(10)