Properties

Label 324928b
Number of curves $1$
Conductor $324928$
CM no
Rank $2$

Related objects

Downloads

Learn more

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

Elliptic curves in class 324928b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
324928.b1 324928b1 \([0, -1, 0, -293, 1981]\) \(170368000/5077\) \(83181568\) \([]\) \(65536\) \(0.29654\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 324928b1 has rank \(2\).

Complex multiplication

The elliptic curves in class 324928b do not have complex multiplication.

Modular form 324928.2.a.b

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