Properties

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

Related objects

Downloads

Learn more about

Show commands for: SageMath
sage: E = EllipticCurve("y1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 3630.y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
3630.y1 3630y1 [1, 0, 0, -141875, 18393057] [] 57120 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3630.y1 has rank \(1\).

Complex multiplication

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

Modular form 3630.2.a.y

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