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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 6552.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6552.w1 | 6552y1 | \([0, 0, 0, -997915476, -12133817347948]\) | \(-588894491652244161881463808/13658611812026920011\) | \(-2549024770807711920132864\) | \([]\) | \(3548160\) | \(3.7958\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6552.w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 6552.w do not have complex multiplication.Modular form 6552.2.a.w
sage: E.q_eigenform(10)