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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 17787.x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
17787.x1 | 17787p1 | \([1, 0, 1, 17663, 4994273]\) | \(24167/441\) | \(-11121626623929129\) | \([]\) | \(152064\) | \(1.7594\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 17787.x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 17787.x do not have complex multiplication.Modular form 17787.2.a.x
sage: E.q_eigenform(10)