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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 59290k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
59290.y1 | 59290k1 | \([1, -1, 0, -1535, 23491]\) | \(557752041/1250\) | \(896761250\) | \([]\) | \(46080\) | \(0.60009\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 59290k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 59290k do not have complex multiplication.Modular form 59290.2.a.k
sage: E.q_eigenform(10)