Properties

Label 106722bl
Number of curves $1$
Conductor $106722$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("bl1")
 
E.isogeny_class()
 

Elliptic curves in class 106722bl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
106722.l1 106722bl1 \([1, -1, 0, 1314, 152158]\) \(107653/4374\) \(-10190054870226\) \([]\) \(322560\) \(1.1759\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 106722bl1 has rank \(2\).

Complex multiplication

The elliptic curves in class 106722bl do not have complex multiplication.

Modular form 106722.2.a.bl

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - 3 q^{5} - q^{8} + 3 q^{10} - 2 q^{13} + q^{16} + 7 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display