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SageMath
E = EllipticCurve("ce1")
E.isogeny_class()
Elliptic curves in class 286110.ce
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
286110.ce1 | 286110ce1 | \([1, -1, 0, 5080566, 12072893940]\) | \(22253722294800933/109514680000000\) | \(-71372289915348840000000\) | \([]\) | \(29030400\) | \(3.0674\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 286110.ce1 has rank \(1\).
Complex multiplication
The elliptic curves in class 286110.ce do not have complex multiplication.Modular form 286110.2.a.ce
sage: E.q_eigenform(10)