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SageMath
E = EllipticCurve("cw1")
E.isogeny_class()
Elliptic curves in class 223146cw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
223146.p1 | 223146cw1 | \([1, -1, 0, -51165, 44110597]\) | \(-172715635009/9694992384\) | \(-831501889900222464\) | \([]\) | \(2703360\) | \(2.1184\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 223146cw1 has rank \(1\).
Complex multiplication
The elliptic curves in class 223146cw do not have complex multiplication.Modular form 223146.2.a.cw
sage: E.q_eigenform(10)