Properties

Label 374790.do
Number of curves $1$
Conductor $374790$
CM no
Rank $0$

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

Elliptic curves in class 374790.do

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
374790.do1 374790do1 \([1, 0, 0, 415608455, -1099185320725]\) \(8945542253538201956399/5764961242675781250\) \(-5116424323697090148925781250\) \([]\) \(276756480\) \(4.0058\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 374790.do1 has rank \(0\).

Complex multiplication

The elliptic curves in class 374790.do do not have complex multiplication.

Modular form 374790.2.a.do

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} + q^{5} + q^{6} + 3 q^{7} + q^{8} + q^{9} + q^{10} + 4 q^{11} + q^{12} + q^{13} + 3 q^{14} + q^{15} + q^{16} - q^{17} + q^{18} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display