Properties

Label 26520.bd
Number of curves $1$
Conductor $26520$
CM no
Rank $1$

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

Elliptic curves in class 26520.bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
26520.bd1 26520bc1 \([0, 1, 0, 1040, -7267]\) \(7767586344704/6060234375\) \(-96963750000\) \([]\) \(24192\) \(0.79614\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 26520.bd1 has rank \(1\).

Complex multiplication

The elliptic curves in class 26520.bd do not have complex multiplication.

Modular form 26520.2.a.bd

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