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SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 28322bj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
28322.w1 | 28322bj1 | \([1, 1, 1, -16936851, 26821483681]\) | \(654699641761/112\) | \(91917379363735408\) | \([]\) | \(1645056\) | \(2.6536\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28322bj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 28322bj do not have complex multiplication.Modular form 28322.2.a.bj
sage: E.q_eigenform(10)