Properties

Label 100800mp
Number of curves 1
Conductor 100800
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("100800.m1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 100800mp

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
100800.m1 100800mp1 [0, 0, 0, -83550, -16128250] [] 967680 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 100800mp1 has rank \(1\).

Modular form 100800.2.a.m

sage: E.q_eigenform(10)
 
\( q - q^{7} - 5q^{11} + 5q^{13} - 5q^{17} + O(q^{20}) \)