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SageMath
E = EllipticCurve("cw1")
E.isogeny_class()
Elliptic curves in class 44880cw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
44880.cx1 | 44880cw1 | \([0, 1, 0, 28280, -254860]\) | \(610641930681719/360747465210\) | \(-1477621617500160\) | \([]\) | \(224640\) | \(1.6001\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 44880cw1 has rank \(1\).
Complex multiplication
The elliptic curves in class 44880cw do not have complex multiplication.Modular form 44880.2.a.cw
sage: E.q_eigenform(10)