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SageMath
E = EllipticCurve("cw1")
E.isogeny_class()
Elliptic curves in class 188760.cw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
188760.cw1 | 188760l1 | \([0, 1, 0, -12745, -853525]\) | \(-504871936/394875\) | \(-179083558368000\) | \([]\) | \(648000\) | \(1.4335\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 188760.cw1 has rank \(0\).
Complex multiplication
The elliptic curves in class 188760.cw do not have complex multiplication.Modular form 188760.2.a.cw
sage: E.q_eigenform(10)