Properties

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

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Show commands: SageMath
E = EllipticCurve("cd1")
 
E.isogeny_class()
 

Elliptic curves in class 350658.cd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
350658.cd1 350658cd1 \([1, -1, 0, -3859983, -3164392467]\) \(-595911384446123713/60681357950976\) \(-647669670323214680064\) \([]\) \(27131904\) \(2.7331\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 350658.cd1 has rank \(0\).

Complex multiplication

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

Modular form 350658.2.a.cd

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