Properties

Label 400710v
Number of curves $1$
Conductor $400710$
CM no
Rank $0$

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

Elliptic curves in class 400710v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
400710.v1 400710v1 \([1, 0, 1, -14448, 667198]\) \(923839438830481/568320\) \(205163520\) \([]\) \(492480\) \(0.91622\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 400710v1 has rank \(0\).

Complex multiplication

The elliptic curves in class 400710v do not have complex multiplication.

Modular form 400710.2.a.v

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} + q^{5} - q^{6} - q^{7} - q^{8} + q^{9} - q^{10} - q^{11} + q^{12} - q^{13} + q^{14} + q^{15} + q^{16} - q^{18} + O(q^{20})\) Copy content Toggle raw display