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SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 412224bj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
412224.bj1 | 412224bj1 | \([0, -1, 0, 16611, 4854861]\) | \(494976915433472/10252595536011\) | \(-10498657828875264\) | \([]\) | \(3151872\) | \(1.7545\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 412224bj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 412224bj do not have complex multiplication.Modular form 412224.2.a.bj
sage: E.q_eigenform(10)