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SageMath
E = EllipticCurve("fx1")
E.isogeny_class()
Elliptic curves in class 116160fx
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
116160.g1 | 116160fx1 | \([0, -1, 0, 37461439, -145449079719]\) | \(218902267299584/470715894135\) | \(-12502177804921713269898240\) | \([]\) | \(27202560\) | \(3.4999\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 116160fx1 has rank \(1\).
Complex multiplication
The elliptic curves in class 116160fx do not have complex multiplication.Modular form 116160.2.a.fx
sage: E.q_eigenform(10)