Properties

Label 3630.r
Number of curves $1$
Conductor $3630$
CM no
Rank $0$

Related objects

Downloads

Learn more about

Show commands for: SageMath
sage: E = EllipticCurve("r1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 3630.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
3630.r1 3630r1 [1, 1, 1, -46890, 3610905] [] 22176 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3630.r1 has rank \(0\).

Complex multiplication

The elliptic curves in class 3630.r do not have complex multiplication.

Modular form 3630.2.a.r

sage: E.q_eigenform(10)
 
\( q + q^{2} - q^{3} + q^{4} + q^{5} - q^{6} + 3q^{7} + q^{8} + q^{9} + q^{10} - q^{12} + 3q^{13} + 3q^{14} - q^{15} + q^{16} - q^{17} + q^{18} - q^{19} + O(q^{20}) \)