Properties

Label 129600.bd
Number of curves $1$
Conductor $129600$
CM no
Rank $1$

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

Elliptic curves in class 129600.bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
129600.bd1 129600ja1 \([0, 0, 0, -2700, -27000]\) \(2304\) \(944784000000\) \([]\) \(161280\) \(0.99401\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 129600.bd1 has rank \(1\).

Complex multiplication

The elliptic curves in class 129600.bd do not have complex multiplication.

Modular form 129600.2.a.bd

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