Properties

Label 392784g
Number of curves $1$
Conductor $392784$
CM no
Rank $0$

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

Elliptic curves in class 392784g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
392784.g1 392784g1 \([0, -1, 0, -60629, 64636125]\) \(-51147440128/3713355387\) \(-1789429956301467648\) \([]\) \(5806080\) \(2.1821\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 392784g1 has rank \(0\).

Complex multiplication

The elliptic curves in class 392784g do not have complex multiplication.

Modular form 392784.2.a.g

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