Properties

Label 465690.v
Number of curves $1$
Conductor $465690$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 465690.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
465690.v1 465690v1 \([1, 0, 1, -27820219889, -1019996324705788]\) \(140209221970077211227558889/54675919559221081920000\) \(928591926658676177644545318720000\) \([]\) \(2451565440\) \(5.0247\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 465690.v1 has rank \(1\).

Complex multiplication

The elliptic curves in class 465690.v do not have complex multiplication.

Modular form 465690.2.a.v

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