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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 287490.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
287490.k1 | 287490k1 | \([1, 1, 0, -135099793, 604351622413]\) | \(-145505989837172074316329/301327047000\) | \(-564735399732567000\) | \([]\) | \(32845824\) | \(3.0831\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 287490.k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 287490.k do not have complex multiplication.Modular form 287490.2.a.k
sage: E.q_eigenform(10)