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SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 33462bj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
33462.d1 | 33462bj1 | \([1, -1, 0, -44901, 5158453]\) | \(-16835377/9504\) | \(-5651721779067936\) | \([]\) | \(299520\) | \(1.7257\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 33462bj1 has rank \(1\).
Complex multiplication
The elliptic curves in class 33462bj do not have complex multiplication.Modular form 33462.2.a.bj
sage: E.q_eigenform(10)