Properties

Label 130050fn
Number of curves $1$
Conductor $130050$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("fn1")
 
E.isogeny_class()
 

Elliptic curves in class 130050fn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
130050.ci1 130050fn1 \([1, -1, 0, -10917, -1037259]\) \(-43713001/116640\) \(-383966122500000\) \([]\) \(414720\) \(1.4860\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 130050fn1 has rank \(0\).

Complex multiplication

The elliptic curves in class 130050fn do not have complex multiplication.

Modular form 130050.2.a.fn

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