Properties

Label 350727m
Number of curves $1$
Conductor $350727$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 350727m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
350727.m1 350727m1 \([0, -1, 1, 46376, 2995761]\) \(74512166912/69581187\) \(-10300512875220243\) \([]\) \(4055040\) \(1.7598\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 350727m1 has rank \(1\).

Complex multiplication

The elliptic curves in class 350727m do not have complex multiplication.

Modular form 350727.2.a.m

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} - q^{3} + 2 q^{4} - 2 q^{5} - 2 q^{6} - 4 q^{7} + q^{9} - 4 q^{10} + 4 q^{11} - 2 q^{12} - q^{13} - 8 q^{14} + 2 q^{15} - 4 q^{16} + q^{17} + 2 q^{18} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display