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SageMath
E = EllipticCurve("fj1")
E.isogeny_class()
Elliptic curves in class 244800.fj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
244800.fj1 | 244800fj1 | \([0, 0, 0, 57300, -4246000]\) | \(55742968/53125\) | \(-19828800000000000\) | \([]\) | \(1382400\) | \(1.8143\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 244800.fj1 has rank \(1\).
Complex multiplication
The elliptic curves in class 244800.fj do not have complex multiplication.Modular form 244800.2.a.fj
sage: E.q_eigenform(10)