Properties

Label 33600i
Number of curves $1$
Conductor $33600$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 33600i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
33600.by1 33600i1 \([0, -1, 0, -113, 537]\) \(-6288640/567\) \(-14515200\) \([]\) \(6144\) \(0.11742\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 33600i1 has rank \(1\).

Complex multiplication

The elliptic curves in class 33600i do not have complex multiplication.

Modular form 33600.2.a.i

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{7} + q^{9} + 3 q^{11} - 2 q^{13} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display