Properties

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

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

Elliptic curves in class 30926g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
30926.i1 30926g1 \([1, 1, 1, 52970, 3428883]\) \(1524845951/1347584\) \(-14525898109915136\) \([]\) \(211968\) \(1.7887\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 30926g1 has rank \(1\).

Complex multiplication

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

Modular form 30926.2.a.g

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} + q^{5} - q^{6} - q^{7} + q^{8} - 2 q^{9} + q^{10} + 5 q^{11} - q^{12} - 2 q^{13} - q^{14} - q^{15} + q^{16} - 6 q^{17} - 2 q^{18} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display