Properties

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

Related objects

Downloads

Learn more

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

Elliptic curves in class 3630.y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3630.y1 3630y1 \([1, 0, 0, -141875, 18393057]\) \(21571025211960961/2488320000000\) \(36431493120000000\) \([]\) \(57120\) \(1.9098\) \(\Gamma_0(N)\)-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)
 
\(q + q^{2} + q^{3} + q^{4} + q^{5} + q^{6} - 3 q^{7} + q^{8} + q^{9} + q^{10} + q^{12} - 5 q^{13} - 3 q^{14} + q^{15} + q^{16} - 7 q^{17} + q^{18} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display