Properties

Label 2100.c
Number of curves 1
Conductor 2100
CM no
Rank 1

Related objects

Downloads

Learn more about

Show commands for: SageMath
sage: E = EllipticCurve("2100.c1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 2100.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
2100.c1 2100f1 [0, -1, 0, 42, -63] [] 288 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2100.c1 has rank \(1\).

Modular form 2100.2.a.c

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