Properties

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

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 126852.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
126852.c1 126852e1 \([0, -1, 0, -506, 4689]\) \(-30118144/1089\) \(-519078384\) \([]\) \(43008\) \(0.44395\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 126852.c1 has rank \(2\).

Complex multiplication

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

Modular form 126852.2.a.c

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{7} + q^{9} + q^{11} - 4 q^{13} + q^{15} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display