Properties

Label 67760s
Number of curves $1$
Conductor $67760$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 67760s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
67760.t1 67760s1 \([0, -1, 0, -1122920, -460655600]\) \(-356696720402/2734375\) \(-1200409733600000000\) \([]\) \(946176\) \(2.2988\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 67760s1 has rank \(0\).

Complex multiplication

The elliptic curves in class 67760s do not have complex multiplication.

Modular form 67760.2.a.s

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