Properties

Label 112632.ba
Number of curves $1$
Conductor $112632$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ba1")
 
E.isogeny_class()
 

Elliptic curves in class 112632.ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
112632.ba1 112632h1 \([0, 1, 0, -56067752, 161572757472]\) \(-1120816166918692/1601613\) \(-27853921641251976192\) \([]\) \(6500736\) \(3.0024\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 112632.ba1 has rank \(1\).

Complex multiplication

The elliptic curves in class 112632.ba do not have complex multiplication.

Modular form 112632.2.a.ba

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