Properties

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

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Show commands: SageMath
E = EllipticCurve("bd1")
 
E.isogeny_class()
 

Elliptic curves in class 328560.bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
328560.bd1 328560bd1 \([0, -1, 0, 25714840, 95033742192]\) \(3532642667/9375000\) \(-4990530808130956800000000\) \([]\) \(55240704\) \(3.4228\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 328560.bd1 has rank \(0\).

Complex multiplication

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

Modular form 328560.2.a.bd

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