Properties

Label 104742bb
Number of curves $1$
Conductor $104742$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("bb1")
 
E.isogeny_class()
 

Elliptic curves in class 104742bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
104742.d1 104742bb1 \([1, -1, 0, -17556, -1111024]\) \(-2933428257/937024\) \(-191156727491136\) \([]\) \(423936\) \(1.4533\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 104742bb1 has rank \(2\).

Complex multiplication

The elliptic curves in class 104742bb do not have complex multiplication.

Modular form 104742.2.a.bb

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - 3 q^{5} - q^{8} + 3 q^{10} + q^{11} - q^{13} + q^{16} - 2 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display