Properties

Label 33930s
Number of curves $1$
Conductor $33930$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 33930s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
33930.u1 33930s1 \([1, -1, 1, 172, -713]\) \(20956092093/19302400\) \(-521164800\) \([]\) \(15488\) \(0.35990\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 33930s1 has rank \(1\).

Complex multiplication

The elliptic curves in class 33930s do not have complex multiplication.

Modular form 33930.2.a.s

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} - q^{5} + 2 q^{7} + q^{8} - q^{10} - 5 q^{11} - q^{13} + 2 q^{14} + q^{16} + 3 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display