Properties

Label 109200dd
Number of curves $1$
Conductor $109200$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("dd1")
 
E.isogeny_class()
 

Elliptic curves in class 109200dd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
109200.n1 109200dd1 \([0, -1, 0, -40193608, 98655177712]\) \(-112205650221491190337/745029571313664\) \(-47681892564074496000000\) \([]\) \(12337920\) \(3.1871\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 109200dd1 has rank \(1\).

Complex multiplication

The elliptic curves in class 109200dd do not have complex multiplication.

Modular form 109200.2.a.dd

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{7} + q^{9} - q^{11} + q^{13} - 7 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display