Properties

Label 30926.g
Number of curves $1$
Conductor $30926$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 30926.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
30926.g1 30926m1 \([1, -1, 1, -39072, -2984877]\) \(-611960049/5264\) \(-56741789491856\) \([]\) \(211968\) \(1.4642\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 30926.g1 has rank \(0\).

Complex multiplication

The elliptic curves in class 30926.g do not have complex multiplication.

Modular form 30926.2.a.g

sage: E.q_eigenform(10)
 
\(q + q^{2} - 3 q^{3} + q^{4} + q^{5} - 3 q^{6} + q^{7} + q^{8} + 6 q^{9} + q^{10} - q^{11} - 3 q^{12} + 6 q^{13} + q^{14} - 3 q^{15} + q^{16} - 2 q^{17} + 6 q^{18} + O(q^{20})\) Copy content Toggle raw display