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SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 4998.bj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4998.bj1 | 4998bq1 | \([1, 0, 0, -107997, 13989681]\) | \(-1184052061112257/34349180544\) | \(-4041146741821056\) | \([]\) | \(40320\) | \(1.7738\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4998.bj1 has rank \(1\).
Complex multiplication
The elliptic curves in class 4998.bj do not have complex multiplication.Modular form 4998.2.a.bj
sage: E.q_eigenform(10)