Properties

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

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Show commands: SageMath
E = EllipticCurve("bc1")
 
E.isogeny_class()
 

Elliptic curves in class 2800.bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2800.bc1 2800m1 \([0, -1, 0, -8, -13]\) \(-6400/7\) \(-70000\) \([]\) \(288\) \(-0.37557\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2800.bc1 has rank \(1\).

Complex multiplication

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

Modular form 2800.2.a.bc

sage: E.q_eigenform(10)
 
\(q + 2 q^{3} + q^{7} + q^{9} - 5 q^{11} - 8 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display