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SageMath
E = EllipticCurve("bn1")
E.isogeny_class()
Elliptic curves in class 46200.bn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
46200.bn1 | 46200cc1 | \([0, -1, 0, 1092, -108063]\) | \(575511296/20376279\) | \(-5094069750000\) | \([]\) | \(94080\) | \(1.1182\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 46200.bn1 has rank \(0\).
Complex multiplication
The elliptic curves in class 46200.bn do not have complex multiplication.Modular form 46200.2.a.bn
sage: E.q_eigenform(10)