Properties

Label 59536g
Number of curves $1$
Conductor $59536$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 59536g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
59536.f1 59536g1 \([0, -1, 0, -120312, -16924624]\) \(-912673/61\) \(-12872674656342016\) \([]\) \(476160\) \(1.8431\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 59536g1 has rank \(0\).

Complex multiplication

The elliptic curves in class 59536g do not have complex multiplication.

Modular form 59536.2.a.g

sage: E.q_eigenform(10)
 
\(q + 2 q^{3} - 3 q^{5} + q^{7} + q^{9} - 5 q^{11} + q^{13} - 6 q^{15} - 4 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display