Properties

Label 350658cc
Number of curves $1$
Conductor $350658$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cc1")
 
E.isogeny_class()
 

Elliptic curves in class 350658cc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
350658.cc1 350658cc1 \([1, -1, 0, -1344393, 12618187357]\) \(-1719624451633/439139480976\) \(-68623283406058451787024\) \([]\) \(36765696\) \(3.0611\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 350658cc1 has rank \(1\).

Complex multiplication

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

Modular form 350658.2.a.cc

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