Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("c1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 2800.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2800.c1 2800h1 \([0, 0, 0, -10300, -414500]\) \(-30211716096/1071875\) \(-4287500000000\) \([]\) \(11520\) \(1.1962\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2800.c1 has rank \(0\).

Complex multiplication

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

Modular form 2800.2.a.c

sage: E.q_eigenform(10)
 
\(q - 3q^{3} + q^{7} + 6q^{9} + 5q^{11} + 5q^{13} + 7q^{17} + 2q^{19} + O(q^{20})\)  Toggle raw display