Properties

Label 392784.v
Number of curves $1$
Conductor $392784$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 392784.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
392784.v1 392784v1 \([0, -1, 0, 103472, -14474816]\) \(741217625/973944\) \(-160981620391968768\) \([]\) \(3096576\) \(1.9875\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 392784.v1 has rank \(1\).

Complex multiplication

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

Modular form 392784.2.a.v

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