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SageMath
E = EllipticCurve("cq1")
E.isogeny_class()
Elliptic curves in class 450800cq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
450800.cq1 | 450800cq1 | \([0, -1, 0, -34708, 2515787]\) | \(-157216000/1127\) | \(-33147605750000\) | \([]\) | \(1327104\) | \(1.4268\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 450800cq1 has rank \(1\).
Complex multiplication
The elliptic curves in class 450800cq do not have complex multiplication.Modular form 450800.2.a.cq
sage: E.q_eigenform(10)