Properties

Label 19320.g
Number of curves $1$
Conductor $19320$
CM no
Rank $1$

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

Elliptic curves in class 19320.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
19320.g1 19320n1 \([0, -1, 0, -1, 85]\) \(-1024/12075\) \(-3091200\) \([]\) \(2688\) \(-0.075753\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 19320.g1 has rank \(1\).

Complex multiplication

The elliptic curves in class 19320.g do not have complex multiplication.

Modular form 19320.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{7} + q^{9} + 3 q^{11} + q^{15} - 6 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display