Properties

Label 428736.cd
Number of curves $1$
Conductor $428736$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("cd1")
 
E.isogeny_class()
 

Elliptic curves in class 428736.cd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
428736.cd1 428736cd1 \([0, -1, 0, -1, 6049]\) \(-1/60291\) \(-15804923904\) \([]\) \(221184\) \(0.63585\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 428736.cd1 has rank \(0\).

Complex multiplication

The elliptic curves in class 428736.cd do not have complex multiplication.

Modular form 428736.2.a.cd

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{7} + q^{9} + q^{11} + q^{13} + q^{15} + 5 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display