Properties

Label 36100.c
Number of curves $1$
Conductor $36100$
CM no
Rank $0$

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

Elliptic curves in class 36100.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
36100.c1 36100d1 \([0, 1, 0, -914533, 335151063]\) \(1245184/5\) \(339671260820000000\) \([]\) \(689472\) \(2.2204\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 36100.c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 36100.c do not have complex multiplication.

Modular form 36100.2.a.c

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} + 4 q^{7} + q^{9} - 3 q^{11} - 6 q^{13} - 2 q^{17} + O(q^{20})\) Copy content Toggle raw display