Properties

Label 11700.c
Number of curves $1$
Conductor $11700$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 11700.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11700.c1 11700u1 \([0, 0, 0, -13638000, 19714412500]\) \(-769623354048512/15247889631\) \(-5557855770499500000000\) \([]\) \(672000\) \(2.9653\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11700.c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 11700.c do not have complex multiplication.

Modular form 11700.2.a.c

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