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SageMath
E = EllipticCurve("fj1")
E.isogeny_class()
Elliptic curves in class 444675.fj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
444675.fj1 | 444675fj1 | \([1, 1, 0, -185000, -32730375]\) | \(-7558595228569/597871125\) | \(-55387154689453125\) | \([]\) | \(3483648\) | \(1.9597\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 444675.fj1 has rank \(1\).
Complex multiplication
The elliptic curves in class 444675.fj do not have complex multiplication.Modular form 444675.2.a.fj
sage: E.q_eigenform(10)