Properties

Label 36100h
Number of curves $1$
Conductor $36100$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 36100h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
36100.i1 36100h1 \([0, -1, 0, -192533, 32707937]\) \(-4194304/19\) \(-3575486956000000\) \([]\) \(302400\) \(1.8360\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 36100h1 has rank \(1\).

Complex multiplication

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

Modular form 36100.2.a.h

sage: E.q_eigenform(10)
 
\(q + 2 q^{3} + 3 q^{7} + q^{9} + 5 q^{11} - 4 q^{13} + 3 q^{17} + O(q^{20})\) Copy content Toggle raw display