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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 286650.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
286650.e1 | 286650e1 | \([1, -1, 0, 2934258, -1226791084]\) | \(262586475/212992\) | \(-2266258569120000000000\) | \([]\) | \(18816000\) | \(2.7855\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 286650.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 286650.e do not have complex multiplication.Modular form 286650.2.a.e
sage: E.q_eigenform(10)