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SageMath
E = EllipticCurve("bn1")
E.isogeny_class()
Elliptic curves in class 9800bn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9800.p1 | 9800bn1 | \([0, -1, 0, 8167, -6830963]\) | \(1024/343\) | \(-20176803500000000\) | \([]\) | \(46080\) | \(1.8077\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9800bn1 has rank \(0\).
Complex multiplication
The elliptic curves in class 9800bn do not have complex multiplication.Modular form 9800.2.a.bn
sage: E.q_eigenform(10)