Properties

Label 27072cr
Number of curves $1$
Conductor $27072$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("cr1")
 
E.isogeny_class()
 

Elliptic curves in class 27072cr

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
27072.p1 27072cr1 \([0, 0, 0, -444, 1366]\) \(207474688/102789\) \(4795723584\) \([]\) \(17920\) \(0.55062\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 27072cr1 has rank \(0\).

Complex multiplication

The elliptic curves in class 27072cr do not have complex multiplication.

Modular form 27072.2.a.cr

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