Properties

Label 6422.d
Number of curves $1$
Conductor $6422$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 6422.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6422.d1 6422c1 \([1, 1, 0, -8284, -311904]\) \(-77086633/5776\) \(-4711660644496\) \([]\) \(22464\) \(1.1803\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6422.d1 has rank \(0\).

Complex multiplication

The elliptic curves in class 6422.d do not have complex multiplication.

Modular form 6422.2.a.d

sage: E.q_eigenform(10)
 
\(q - q^{2} + 2 q^{3} + q^{4} - 3 q^{5} - 2 q^{6} - q^{8} + q^{9} + 3 q^{10} - 6 q^{11} + 2 q^{12} - 6 q^{15} + q^{16} + 7 q^{17} - q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display