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SageMath
E = EllipticCurve("cw1")
E.isogeny_class()
Elliptic curves in class 287490.cw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
287490.cw1 | 287490cw1 | \([1, 1, 1, 15715, 7843187]\) | \(229012002719/14288400000\) | \(-26778762032400000\) | \([]\) | \(3144960\) | \(1.8318\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 287490.cw1 has rank \(1\).
Complex multiplication
The elliptic curves in class 287490.cw do not have complex multiplication.Modular form 287490.2.a.cw
sage: E.q_eigenform(10)