Properties

Label 350064.a
Number of curves $1$
Conductor $350064$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 350064.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
350064.a1 350064a1 \([0, 0, 0, -11907, -39599550]\) \(-2315685267/8401246711\) \(-677321682995662848\) \([]\) \(9216000\) \(2.1003\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 350064.a1 has rank \(0\).

Complex multiplication

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

Modular form 350064.2.a.a

sage: E.q_eigenform(10)
 
\(q - 4 q^{5} - 5 q^{7} + q^{11} - q^{13} + q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display