Properties

Label 438993.b
Number of curves $1$
Conductor $438993$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 438993.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
438993.b1 438993b1 \([1, -1, 0, -17916, 927539]\) \(-32312399988051/1154389\) \(-22721838687\) \([]\) \(931104\) \(1.0763\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 438993.b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 438993.b do not have complex multiplication.

Modular form 438993.2.a.b

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{4} + 2 q^{5} + 2 q^{7} - 3 q^{8} + 2 q^{10} + 6 q^{11} - 2 q^{13} + 2 q^{14} - q^{16} + 4 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display