Properties

Label 106560.b
Number of curves $1$
Conductor $106560$
CM no
Rank $2$

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

Elliptic curves in class 106560.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
106560.b1 106560bp1 \([0, 0, 0, -588, 6352]\) \(-941192/185\) \(-4419256320\) \([]\) \(95232\) \(0.57393\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 106560.b1 has rank \(2\).

Complex multiplication

The elliptic curves in class 106560.b do not have complex multiplication.

Modular form 106560.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{5} - 5 q^{7} - 5 q^{11} + 4 q^{13} - 3 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display