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SageMath
E = EllipticCurve("fj1")
E.isogeny_class()
Elliptic curves in class 78400fj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
78400.jb1 | 78400fj1 | \([0, -1, 0, -80033, 4757537]\) | \(2450\) | \(23140372398080000\) | \([]\) | \(548352\) | \(1.8377\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 78400fj1 has rank \(1\).
Complex multiplication
The elliptic curves in class 78400fj do not have complex multiplication.Modular form 78400.2.a.fj
sage: E.q_eigenform(10)