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SageMath
E = EllipticCurve("fj1")
E.isogeny_class()
Elliptic curves in class 159936.fj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
159936.fj1 | 159936fd1 | \([0, 1, 0, -12805, -613411]\) | \(-629407744/70227\) | \(-25910059508928\) | \([]\) | \(604800\) | \(1.3111\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 159936.fj1 has rank \(1\).
Complex multiplication
The elliptic curves in class 159936.fj do not have complex multiplication.Modular form 159936.2.a.fj
sage: E.q_eigenform(10)