Properties

Label 2800r
Number of curves $1$
Conductor $2800$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 2800r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2800.b1 2800r1 \([0, 0, 0, -71875, -8018750]\) \(-1026590625/100352\) \(-4014080000000000\) \([]\) \(31680\) \(1.7350\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2800r1 has rank \(0\).

Complex multiplication

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

Modular form 2800.2.a.r

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} - q^{7} + 6 q^{9} + 5 q^{11} + 6 q^{13} + q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display