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SageMath
E = EllipticCurve("cw1")
E.isogeny_class()
Elliptic curves in class 215600cw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
215600.dy1 | 215600cw1 | \([0, 0, 0, 175, 875]\) | \(48384/55\) | \(-673750000\) | \([]\) | \(69120\) | \(0.38044\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 215600cw1 has rank \(0\).
Complex multiplication
The elliptic curves in class 215600cw do not have complex multiplication.Modular form 215600.2.a.cw
sage: E.q_eigenform(10)