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SageMath
E = EllipticCurve("cv1")
E.isogeny_class()
Elliptic curves in class 97344cv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
97344.gj1 | 97344cv1 | \([0, 0, 0, 13182, -1428050]\) | \(6656/27\) | \(-1027585778012352\) | \([]\) | \(599040\) | \(1.5632\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 97344cv1 has rank \(0\).
Complex multiplication
The elliptic curves in class 97344cv do not have complex multiplication.Modular form 97344.2.a.cv
sage: E.q_eigenform(10)