Properties

Label 2800.v
Number of curves $1$
Conductor $2800$
CM no
Rank $1$

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

Elliptic curves in class 2800.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2800.v1 2800b1 \([0, 1, 0, -168, 788]\) \(-10303010/49\) \(-2508800\) \([]\) \(576\) \(0.077476\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2800.v1 has rank \(1\).

Complex multiplication

The elliptic curves in class 2800.v do not have complex multiplication.

Modular form 2800.2.a.v

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{7} - 2q^{9} + q^{11} + 6q^{13} - 7q^{17} - q^{19} + O(q^{20})\)  Toggle raw display