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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 35490.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
35490.k1 | 35490j1 | \([1, 1, 0, 257, -25787]\) | \(11040615599/1720320000\) | \(-290734080000\) | \([]\) | \(65280\) | \(0.87893\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 35490.k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 35490.k do not have complex multiplication.Modular form 35490.2.a.k
sage: E.q_eigenform(10)