Properties

Label 195195f
Number of curves $1$
Conductor $195195$
CM no
Rank $2$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 195195f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
195195.o1 195195f1 \([1, 0, 0, 4215, 91350]\) \(49003071761111/49525678125\) \(-8369839603125\) \([]\) \(374400\) \(1.1665\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 195195f1 has rank \(2\).

Complex multiplication

The elliptic curves in class 195195f do not have complex multiplication.

Modular form 195195.2.a.f

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} - q^{4} + q^{5} - q^{6} - q^{7} + 3 q^{8} + q^{9} - q^{10} + q^{11} - q^{12} + q^{14} + q^{15} - q^{16} + 2 q^{17} - q^{18} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display