Properties

Label 700d
Number of curves $1$
Conductor $700$
CM no
Rank $1$

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Show commands for: SageMath
sage: E = EllipticCurve("d1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 700d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
700.b1 700d1 [0, 0, 0, 800, 26500] [] 1440 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 700d1 has rank \(1\).

Complex multiplication

The elliptic curves in class 700d do not have complex multiplication.

Modular form 700.2.a.d

sage: E.q_eigenform(10)
 
\( q - 3q^{3} + q^{7} + 6q^{9} - 5q^{11} + 3q^{13} + q^{17} + 6q^{19} + O(q^{20}) \)