Properties

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

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Show commands: SageMath
E = EllipticCurve("eb1")
 
E.isogeny_class()
 

Elliptic curves in class 350658.eb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
350658.eb1 350658eb1 \([1, -1, 1, -75164, 1254575]\) \(4399969620937/2484466992\) \(26517434216576688\) \([]\) \(3981312\) \(1.8414\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 350658.eb1 has rank \(0\).

Complex multiplication

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

Modular form 350658.2.a.eb

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