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SageMath
E = EllipticCurve("cu1")
E.isogeny_class()
Elliptic curves in class 338130.cu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
338130.cu1 | 338130cu1 | \([1, -1, 1, 6907, -397443]\) | \(172991854871/421200000\) | \(-88738837200000\) | \([]\) | \(806400\) | \(1.3603\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 338130.cu1 has rank \(0\).
Complex multiplication
The elliptic curves in class 338130.cu do not have complex multiplication.Modular form 338130.2.a.cu
sage: E.q_eigenform(10)