Properties

Label 432450do
Number of curves $1$
Conductor $432450$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("do1")
 
E.isogeny_class()
 

Elliptic curves in class 432450do

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
432450.do1 432450do1 \([1, -1, 0, -44006292, -126903662384]\) \(-932288503609/148800000\) \(-1504252176518925000000000\) \([]\) \(66355200\) \(3.3673\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 432450do1 has rank \(1\).

Complex multiplication

The elliptic curves in class 432450do do not have complex multiplication.

Modular form 432450.2.a.do

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + 3 q^{7} - q^{8} + 3 q^{11} - 2 q^{13} - 3 q^{14} + q^{16} + 4 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display