Properties

Label 110940b
Number of curves $1$
Conductor $110940$
CM no
Rank $1$

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

Elliptic curves in class 110940b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
110940.b1 110940b1 \([0, -1, 0, -8589221, -9720159855]\) \(-43304636317696/176326875\) \(-285344305195684320000\) \([]\) \(5677056\) \(2.7812\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 110940b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 110940b do not have complex multiplication.

Modular form 110940.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + 2 q^{7} + q^{9} + q^{11} - 5 q^{13} + q^{15} - 3 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display