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SageMath
E = EllipticCurve("bk1")
E.isogeny_class()
Elliptic curves in class 9800.bk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9800.bk1 | 9800bh1 | \([0, -1, 0, -1388, 47657]\) | \(-6288640/16807\) | \(-790930697200\) | \([]\) | \(11520\) | \(0.97052\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9800.bk1 has rank \(1\).
Complex multiplication
The elliptic curves in class 9800.bk do not have complex multiplication.Modular form 9800.2.a.bk
sage: E.q_eigenform(10)