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SageMath
E = EllipticCurve("cq1")
E.isogeny_class()
Elliptic curves in class 159936cq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
159936.h1 | 159936cq1 | \([0, -1, 0, -8297, 343911]\) | \(-8390176768/1821771\) | \(-13717090328256\) | \([]\) | \(430080\) | \(1.2417\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 159936cq1 has rank \(0\).
Complex multiplication
The elliptic curves in class 159936cq do not have complex multiplication.Modular form 159936.2.a.cq
sage: E.q_eigenform(10)