Properties

Label 8046.b
Number of curves $1$
Conductor $8046$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 8046.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
8046.b1 8046b1 \([1, -1, 1, -56, -269]\) \(-970299/1192\) \(-23462136\) \([]\) \(1512\) \(0.10780\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 8046.b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 8046.b do not have complex multiplication.

Modular form 8046.2.a.b

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} - 2 q^{5} + q^{7} + q^{8} - 2 q^{10} - 2 q^{13} + q^{14} + q^{16} - 4 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display