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SageMath
E = EllipticCurve("fj1")
E.isogeny_class()
Elliptic curves in class 111600fj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
111600.be1 | 111600fj1 | \([0, 0, 0, -1515, 24730]\) | \(-5151505/558\) | \(-41654476800\) | \([]\) | \(73728\) | \(0.77582\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 111600fj1 has rank \(2\).
Complex multiplication
The elliptic curves in class 111600fj do not have complex multiplication.Modular form 111600.2.a.fj
sage: E.q_eigenform(10)