Properties

Label 113288bc
Number of curves $1$
Conductor $113288$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bc1")
 
E.isogeny_class()
 

Elliptic curves in class 113288bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
113288.b1 113288bc1 \([0, 0, 0, -26299, -4058138]\) \(-1660932/4913\) \(-5950265291113472\) \([]\) \(1327104\) \(1.7137\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 113288bc1 has rank \(1\).

Complex multiplication

The elliptic curves in class 113288bc do not have complex multiplication.

Modular form 113288.2.a.bc

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