Properties

Label 284592v
Number of curves $1$
Conductor $284592$
CM no
Rank $1$

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

Elliptic curves in class 284592v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
284592.v1 284592v1 \([0, -1, 0, 92888, 25956064]\) \(50250332/194481\) \(-343033169683792896\) \([]\) \(2949120\) \(2.0475\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 284592v1 has rank \(1\).

Complex multiplication

The elliptic curves in class 284592v do not have complex multiplication.

Modular form 284592.2.a.v

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