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SageMath
E = EllipticCurve("ca1")
E.isogeny_class()
Elliptic curves in class 162624.ca
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
162624.ca1 | 162624hq1 | \([0, -1, 0, -1701, 19197]\) | \(274717696/83349\) | \(165236391936\) | \([]\) | \(184320\) | \(0.85758\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 162624.ca1 has rank \(1\).
Complex multiplication
The elliptic curves in class 162624.ca do not have complex multiplication.Modular form 162624.2.a.ca
sage: E.q_eigenform(10)