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SageMath
E = EllipticCurve("ci1")
E.isogeny_class()
Elliptic curves in class 159936.ci
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
159936.ci1 | 159936dt1 | \([0, -1, 0, 51679, -1970751]\) | \(10100279/6936\) | \(-10481738641833984\) | \([]\) | \(967680\) | \(1.7626\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 159936.ci1 has rank \(1\).
Complex multiplication
The elliptic curves in class 159936.ci do not have complex multiplication.Modular form 159936.2.a.ci
sage: E.q_eigenform(10)