Properties

Label 40656.bd
Number of curves $1$
Conductor $40656$
CM no
Rank $1$

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

Elliptic curves in class 40656.bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
40656.bd1 40656q1 \([0, -1, 0, -51465, 3116709]\) \(274717696/83349\) \(4573849183352064\) \([]\) \(253440\) \(1.7100\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 40656.bd1 has rank \(1\).

Complex multiplication

The elliptic curves in class 40656.bd do not have complex multiplication.

Modular form 40656.2.a.bd

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