Properties

Label 43350m
Number of curves $1$
Conductor $43350$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 43350m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
43350.a1 43350m1 \([1, 1, 0, -101670350, -478531297740]\) \(-192607474931043120625/52443022624653312\) \(-31646176929278260486963200\) \([]\) \(16692480\) \(3.6091\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 43350m1 has rank \(1\).

Complex multiplication

The elliptic curves in class 43350m do not have complex multiplication.

Modular form 43350.2.a.m

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