Properties

Label 2100.p
Number of curves $1$
Conductor $2100$
CM no
Rank $0$

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Show commands for: SageMath
sage: E = EllipticCurve("2100.p1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 2100.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
2100.p1 2100l1 [0, 1, 0, 1042, -5787] [] 1440 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2100.p1 has rank \(0\).

Modular form 2100.2.a.p

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