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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 119952.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
119952.j1 | 119952dj1 | \([0, 0, 0, -281799, -57578094]\) | \(10023392043504/17\) | \(4197360384\) | \([]\) | \(380160\) | \(1.5363\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 119952.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 119952.j do not have complex multiplication.Modular form 119952.2.a.j
sage: E.q_eigenform(10)