Properties

Label 350064v
Number of curves $1$
Conductor $350064$
CM no
Rank $1$

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

Elliptic curves in class 350064v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
350064.v1 350064v1 \([0, 0, 0, 32397, 1668274]\) \(1259362112399/1131450606\) \(-3378493406306304\) \([]\) \(1400832\) \(1.6671\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 350064v1 has rank \(1\).

Complex multiplication

The elliptic curves in class 350064v do not have complex multiplication.

Modular form 350064.2.a.v

sage: E.q_eigenform(10)
 
\(q - q^{5} - 3 q^{7} - q^{11} - q^{13} - q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display