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SageMath
E = EllipticCurve("cw1")
E.isogeny_class()
Elliptic curves in class 159936.cw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
159936.cw1 | 159936eb1 | \([0, -1, 0, 172415, 26007073]\) | \(53582633/58752\) | \(-621505444174626816\) | \([]\) | \(1806336\) | \(2.1008\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 159936.cw1 has rank \(1\).
Complex multiplication
The elliptic curves in class 159936.cw do not have complex multiplication.Modular form 159936.2.a.cw
sage: E.q_eigenform(10)