Properties

Label 50008.g
Number of curves $1$
Conductor $50008$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 50008.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
50008.g1 50008c1 \([0, 1, 0, -35, -94]\) \(-304900096/6251\) \(-100016\) \([]\) \(3840\) \(-0.24896\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 50008.g1 has rank \(0\).

Complex multiplication

The elliptic curves in class 50008.g do not have complex multiplication.

Modular form 50008.2.a.g

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