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SageMath
E = EllipticCurve("cr1")
E.isogeny_class()
Elliptic curves in class 17640cr
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
17640.bu1 | 17640cr1 | \([0, 0, 0, 94668, 35160244]\) | \(12459008/78125\) | \(-588355590060000000\) | \([]\) | \(188160\) | \(2.0915\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 17640cr1 has rank \(1\).
Complex multiplication
The elliptic curves in class 17640cr do not have complex multiplication.Modular form 17640.2.a.cr
sage: E.q_eigenform(10)