Properties

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

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 350658.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
350658.f1 350658f1 \([1, -1, 0, 644071059, 11886402117541]\) \(22879231194490519393943/60502362714028376064\) \(-78136863493987554643742294016\) \([]\) \(381542400\) \(4.2277\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 350658.f1 has rank \(0\).

Complex multiplication

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

Modular form 350658.2.a.f

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - 3 q^{5} - q^{7} - q^{8} + 3 q^{10} + 3 q^{13} + q^{14} + q^{16} + 4 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display