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SageMath
E = EllipticCurve("cu1")
E.isogeny_class()
Elliptic curves in class 152880cu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
152880.cu1 | 152880cu1 | \([0, -1, 0, -106360, 82058992]\) | \(-662989657192009/14097531093750\) | \(-2829430880640000000\) | \([]\) | \(3225600\) | \(2.2214\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 152880cu1 has rank \(1\).
Complex multiplication
The elliptic curves in class 152880cu do not have complex multiplication.Modular form 152880.2.a.cu
sage: E.q_eigenform(10)