Properties

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

Related objects

Downloads

Learn more

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

Elliptic curves in class 126852.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
126852.i1 126852k1 \([0, 1, 0, -41, -132]\) \(-507904/99\) \(-1522224\) \([]\) \(18720\) \(-0.090339\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 126852.i1 has rank \(1\).

Complex multiplication

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

Modular form 126852.2.a.i

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} - 4 q^{7} + q^{9} + q^{11} + 2 q^{13} - q^{15} + 4 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display