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SageMath
E = EllipticCurve("cw1")
E.isogeny_class()
Elliptic curves in class 141120cw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
141120.p1 | 141120cw1 | \([0, 0, 0, -163758, 44255918]\) | \(-88478050816/102942875\) | \(-565056708693624000\) | \([]\) | \(1935360\) | \(2.1004\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 141120cw1 has rank \(0\).
Complex multiplication
The elliptic curves in class 141120cw do not have complex multiplication.Modular form 141120.2.a.cw
sage: E.q_eigenform(10)