Properties

Label 28392.b
Number of curves $1$
Conductor $28392$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 28392.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
28392.b1 28392u1 \([0, -1, 0, -320272, -77958596]\) \(-20994006260678308/3063651608241\) \(-530183292715754496\) \([]\) \(460800\) \(2.1313\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 28392.b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 28392.b do not have complex multiplication.

Modular form 28392.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{5} - q^{7} + q^{9} + 3 q^{15} + 7 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display