Properties

Label 436810.cv
Number of curves $1$
Conductor $436810$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cv1")
 
E.isogeny_class()
 

Elliptic curves in class 436810.cv

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
436810.cv1 436810cv1 \([1, -1, 1, 1737, 25501]\) \(9261/10\) \(-626180676110\) \([]\) \(1620000\) \(0.95019\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 436810.cv1 has rank \(1\).

Complex multiplication

The elliptic curves in class 436810.cv do not have complex multiplication.

Modular form 436810.2.a.cv

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