Properties

Label 328560.cd
Number of curves $1$
Conductor $328560$
CM no
Rank $0$

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

Elliptic curves in class 328560.cd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
328560.cd1 328560cd1 \([0, 1, 0, 33769, 2024244]\) \(75776/75\) \(-4214975344705200\) \([]\) \(1363968\) \(1.6851\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 328560.cd1 has rank \(0\).

Complex multiplication

The elliptic curves in class 328560.cd do not have complex multiplication.

Modular form 328560.2.a.cd

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} + q^{7} + q^{9} - 2 q^{11} - q^{13} - q^{15} - 6 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display