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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 471510.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
471510.k1 | 471510k1 | \([1, -1, 0, 28216800, 18629415936]\) | \(706088829719957111/451256832000000\) | \(-1587857162208625152000000\) | \([]\) | \(67737600\) | \(3.3327\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 471510.k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 471510.k do not have complex multiplication.Modular form 471510.2.a.k
sage: E.q_eigenform(10)