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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 17787j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
17787.ba1 | 17787j1 | \([0, -1, 1, -1673954, -325258627]\) | \(495616/243\) | \(254340479262635251101\) | \([]\) | \(1182720\) | \(2.6087\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 17787j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 17787j do not have complex multiplication.Modular form 17787.2.a.j
sage: E.q_eigenform(10)