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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 17600p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
17600.y1 | 17600p1 | \([0, -1, 0, 17, -163]\) | \(512/11\) | \(-11000000\) | \([]\) | \(3456\) | \(0.031416\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 17600p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 17600p do not have complex multiplication.Modular form 17600.2.a.p
sage: E.q_eigenform(10)