Properties

Label 15138h
Number of curves $1$
Conductor $15138$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 15138h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
15138.m1 15138h1 \([1, -1, 0, -8988, -471052]\) \(-185193/116\) \(-50300639317044\) \([]\) \(47040\) \(1.3307\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 15138h1 has rank \(0\).

Complex multiplication

The elliptic curves in class 15138h do not have complex multiplication.

Modular form 15138.2.a.h

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + 3 q^{5} - 2 q^{7} - q^{8} - 3 q^{10} - q^{11} + 3 q^{13} + 2 q^{14} + q^{16} - 4 q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display