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SageMath
E = EllipticCurve("cu1")
E.isogeny_class()
Elliptic curves in class 15680.cu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
15680.cu1 | 15680be1 | \([0, 1, 0, 7775, -1629377]\) | \(137564/3125\) | \(-1180631244800000\) | \([]\) | \(53760\) | \(1.5723\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 15680.cu1 has rank \(0\).
Complex multiplication
The elliptic curves in class 15680.cu do not have complex multiplication.Modular form 15680.2.a.cu
sage: E.q_eigenform(10)