Properties

Label 67600t
Number of curves $1$
Conductor $67600$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 67600t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
67600.g1 67600t1 \([0, 0, 0, -4339075, -3452310875]\) \(44302512384/390625\) \(79661203222656250000\) \([]\) \(4792320\) \(2.6422\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 67600t1 has rank \(1\).

Complex multiplication

The elliptic curves in class 67600t do not have complex multiplication.

Modular form 67600.2.a.t

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