Properties

Label 43190.i
Number of curves $1$
Conductor $43190$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 43190.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
43190.i1 43190p1 \([1, 1, 1, -9730, -373473]\) \(-101874390302149921/12093200\) \(-12093200\) \([]\) \(50944\) \(0.78003\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 43190.i1 has rank \(0\).

Complex multiplication

The elliptic curves in class 43190.i do not have complex multiplication.

Modular form 43190.2.a.i

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} + q^{5} - q^{6} + q^{7} + q^{8} - 2 q^{9} + q^{10} + 4 q^{11} - q^{12} - 2 q^{13} + q^{14} - q^{15} + q^{16} - 2 q^{18} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display