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SageMath
E = EllipticCurve("cw1")
E.isogeny_class()
Elliptic curves in class 426888.cw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
426888.cw1 | 426888cw1 | \([0, 0, 0, -71148, -6142444]\) | \(123904/21\) | \(6750652756167936\) | \([]\) | \(2064384\) | \(1.7581\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 426888.cw1 has rank \(2\).
Complex multiplication
The elliptic curves in class 426888.cw do not have complex multiplication.Modular form 426888.2.a.cw
sage: E.q_eigenform(10)