Properties

Label 350658em
Number of curves $1$
Conductor $350658$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("em1")
 
E.isogeny_class()
 

Elliptic curves in class 350658em

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
350658.em1 350658em1 \([1, -1, 1, -467057966, 4213207547453]\) \(-595911384446123713/60681357950976\) \(-1147386328827464521828859904\) \([]\) \(298450944\) \(3.9321\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 350658em1 has rank \(0\).

Complex multiplication

The elliptic curves in class 350658em do not have complex multiplication.

Modular form 350658.2.a.em

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + 3 q^{5} - q^{7} + q^{8} + 3 q^{10} + 3 q^{13} - q^{14} + q^{16} - 5 q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display