Properties

Label 126852i
Number of curves $1$
Conductor $126852$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 126852i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
126852.h1 126852i1 \([0, 1, 0, 83, 1604]\) \(4063232/72171\) \(-1109701296\) \([]\) \(63360\) \(0.41609\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 126852i1 has rank \(2\).

Complex multiplication

The elliptic curves in class 126852i do not have complex multiplication.

Modular form 126852.2.a.i

sage: E.q_eigenform(10)
 
\(q + q^{3} - 3 q^{5} - 2 q^{7} + q^{9} - q^{11} - 4 q^{13} - 3 q^{15} + 2 q^{17} + O(q^{20})\) Copy content Toggle raw display