Properties

Label 350056f
Number of curves $1$
Conductor $350056$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 350056f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
350056.f1 350056f1 \([0, -1, 0, -1731, 28792]\) \(-304900096/6251\) \(-11766782384\) \([]\) \(184320\) \(0.72400\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 350056f1 has rank \(1\).

Complex multiplication

The elliptic curves in class 350056f do not have complex multiplication.

Modular form 350056.2.a.f

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 2 q^{9} - 2 q^{11} - 4 q^{13} + q^{15} + 6 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display