Properties

Label 309168.v
Number of curves $1$
Conductor $309168$
CM no
Rank $1$

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

Elliptic curves in class 309168.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
309168.v1 309168v1 \([0, 0, 0, -2523, -48854]\) \(-1189646642/2147\) \(-3205453824\) \([]\) \(220416\) \(0.71616\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 309168.v1 has rank \(1\).

Complex multiplication

The elliptic curves in class 309168.v do not have complex multiplication.

Modular form 309168.2.a.v

sage: E.q_eigenform(10)
 
\(q - q^{5} - 3 q^{7} - 2 q^{11} + 6 q^{13} - 6 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display