Properties

Label 59290.bd
Number of curves $1$
Conductor $59290$
CM no
Rank $0$

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

Elliptic curves in class 59290.bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
59290.bd1 59290bq1 \([1, -1, 0, -87929, -10223515]\) \(-1022556447/25000\) \(-1838127404575000\) \([]\) \(316800\) \(1.7142\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 59290.bd1 has rank \(0\).

Complex multiplication

The elliptic curves in class 59290.bd do not have complex multiplication.

Modular form 59290.2.a.bd

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + q^{5} - q^{8} - 3 q^{9} - q^{10} - 4 q^{13} + q^{16} - q^{17} + 3 q^{18} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display