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SageMath
E = EllipticCurve("cp1")
E.isogeny_class()
Elliptic curves in class 94640cp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
94640.bb1 | 94640cp1 | \([0, -1, 0, 1920, 102400]\) | \(86938307/560000\) | \(-5039390720000\) | \([]\) | \(193536\) | \(1.1191\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 94640cp1 has rank \(2\).
Complex multiplication
The elliptic curves in class 94640cp do not have complex multiplication.Modular form 94640.2.a.cp
sage: E.q_eigenform(10)