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SageMath
E = EllipticCurve("bn1")
E.isogeny_class()
Elliptic curves in class 46410.bn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
46410.bn1 | 46410bo1 | \([1, 1, 1, -11, 89]\) | \(-148035889/3712800\) | \(-3712800\) | \([]\) | \(10560\) | \(-0.058756\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 46410.bn1 has rank \(1\).
Complex multiplication
The elliptic curves in class 46410.bn do not have complex multiplication.Modular form 46410.2.a.bn
sage: E.q_eigenform(10)