Properties

Label 109200.ec
Number of curves $1$
Conductor $109200$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("ec1")
 
E.isogeny_class()
 

Elliptic curves in class 109200.ec

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
109200.ec1 109200fn1 \([0, 1, 0, -3008, 71988]\) \(-47045881/8736\) \(-559104000000\) \([]\) \(134400\) \(0.97861\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 109200.ec1 has rank \(0\).

Complex multiplication

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

Modular form 109200.2.a.ec

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