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SageMath
E = EllipticCurve("cp1")
E.isogeny_class()
Elliptic curves in class 191100.cp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
191100.cp1 | 191100h1 | \([0, 1, 0, -2970053, 2002578423]\) | \(-769623354048512/15247889631\) | \(-57404766950320608000\) | \([]\) | \(5544000\) | \(2.5843\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 191100.cp1 has rank \(1\).
Complex multiplication
The elliptic curves in class 191100.cp do not have complex multiplication.Modular form 191100.2.a.cp
sage: E.q_eigenform(10)