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SageMath
E = EllipticCurve("cu1")
E.isogeny_class()
Elliptic curves in class 17640cu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
17640.cr1 | 17640cu1 | \([0, 0, 0, -181692, 30709476]\) | \(-30211716096/1071875\) | \(-23534223602400000\) | \([]\) | \(161280\) | \(1.9137\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 17640cu1 has rank \(1\).
Complex multiplication
The elliptic curves in class 17640cu do not have complex multiplication.Modular form 17640.2.a.cu
sage: E.q_eigenform(10)