Properties

Label 33930.c
Number of curves $1$
Conductor $33930$
CM no
Rank $1$

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

Elliptic curves in class 33930.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
33930.c1 33930h1 \([1, -1, 0, 7875, 421875]\) \(74082708125999/149327343750\) \(-108859633593750\) \([]\) \(119808\) \(1.3779\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 33930.c1 has rank \(1\).

Complex multiplication

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

Modular form 33930.2.a.c

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} - 2 q^{7} - q^{8} + q^{10} + q^{11} - q^{13} + 2 q^{14} + q^{16} + 5 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display