Properties

Label 6468b
Number of curves $1$
Conductor $6468$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 6468b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6468.c1 6468b1 \([0, -1, 0, 85636, -6404712]\) \(47061251888/39135393\) \(-57755584691659008\) \([]\) \(50400\) \(1.9040\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6468b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 6468b do not have complex multiplication.

Modular form 6468.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{5} + q^{9} + q^{11} + 2 q^{13} + 2 q^{15} + 3 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display