Properties

Label 123627l
Number of curves $1$
Conductor $123627$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 123627l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
123627.c1 123627l1 \([0, -1, 1, -1650322, 1267493394]\) \(-24113152/19683\) \(-405758243179344957867\) \([]\) \(6436260\) \(2.6525\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 123627l1 has rank \(0\).

Complex multiplication

The elliptic curves in class 123627l do not have complex multiplication.

Modular form 123627.2.a.l

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} - q^{3} + 2 q^{4} + 2 q^{5} + 2 q^{6} + q^{9} - 4 q^{10} + 2 q^{11} - 2 q^{12} - q^{13} - 2 q^{15} - 4 q^{16} - 4 q^{17} - 2 q^{18} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display