Properties

Label 24150.u
Number of curves $1$
Conductor $24150$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands for: SageMath
sage: E = EllipticCurve("u1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 24150.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
24150.u1 24150k1 \([1, 1, 0, 227400, 28104000]\) \(83228502970940543/69854999176704\) \(-1091484362136000000\) \([]\) \(427680\) \(2.1488\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 24150.u1 has rank \(0\).

Complex multiplication

The elliptic curves in class 24150.u do not have complex multiplication.

Modular form 24150.2.a.u

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} + q^{7} - q^{8} + q^{9} + 4q^{11} - q^{12} + 3q^{13} - q^{14} + q^{16} + 4q^{17} - q^{18} + O(q^{20})\)  Toggle raw display