Properties

Label 429429bd
Number of curves $1$
Conductor $429429$
CM no
Rank $0$

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

Elliptic curves in class 429429bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
429429.bd1 429429bd1 \([1, 0, 0, -1288713, -629546334]\) \(-1890625/273\) \(-34178233498753401057\) \([]\) \(8692992\) \(2.4788\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 429429bd1 has rank \(0\).

Complex multiplication

The elliptic curves in class 429429bd do not have complex multiplication.

Modular form 429429.2.a.bd

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} - q^{4} - q^{6} + q^{7} + 3 q^{8} + q^{9} - q^{12} - q^{14} - q^{16} - 3 q^{17} - q^{18} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display