Properties

Label 3600t
Number of curves $1$
Conductor $3600$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 3600t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3600.m1 3600t1 \([0, 0, 0, 1125, -33750]\) \(270\) \(-583200000000\) \([]\) \(3360\) \(0.94051\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3600t1 has rank \(1\).

Complex multiplication

The elliptic curves in class 3600t do not have complex multiplication.

Modular form 3600.2.a.t

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