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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 9800.bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9800.bc1 | 9800f1 | \([0, 1, 0, -20008, 7307488]\) | \(-196/5\) | \(-22598019920000000\) | \([]\) | \(48384\) | \(1.8187\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9800.bc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 9800.bc do not have complex multiplication.Modular form 9800.2.a.bc
sage: E.q_eigenform(10)