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SageMath
E = EllipticCurve("cp1")
E.isogeny_class()
Elliptic curves in class 61050cp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
61050.cj1 | 61050cp1 | \([1, 0, 0, 187, 1617]\) | \(46268279/97680\) | \(-1526250000\) | \([]\) | \(32256\) | \(0.44648\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 61050cp1 has rank \(1\).
Complex multiplication
The elliptic curves in class 61050cp do not have complex multiplication.Modular form 61050.2.a.cp
sage: E.q_eigenform(10)