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SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 16562bj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
16562.bf1 | 16562bj1 | \([1, 1, 1, -764, 21237]\) | \(-29791/104\) | \(-172181930648\) | \([]\) | \(16128\) | \(0.84199\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 16562bj1 has rank \(1\).
Complex multiplication
The elliptic curves in class 16562bj do not have complex multiplication.Modular form 16562.2.a.bj
sage: E.q_eigenform(10)