Properties

Label 80850.gm
Number of curves $1$
Conductor $80850$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("gm1")
 
E.isogeny_class()
 

Elliptic curves in class 80850.gm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
80850.gm1 80850gf1 \([1, 0, 0, -121738, -16958908]\) \(-260607143968297/11270993184\) \(-8629354156500000\) \([]\) \(907200\) \(1.8235\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 80850.gm1 has rank \(0\).

Complex multiplication

The elliptic curves in class 80850.gm do not have complex multiplication.

Modular form 80850.2.a.gm

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} + q^{6} + q^{8} + q^{9} - q^{11} + q^{12} + 6 q^{13} + q^{16} - 5 q^{17} + q^{18} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display