Properties

Label 100800.n
Number of curves $1$
Conductor $100800$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 100800.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
100800.n1 100800hf1 \([0, 0, 0, -103500, -13856400]\) \(-1026590625/100352\) \(-11985978654720000\) \([]\) \(709632\) \(1.8261\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 100800.n1 has rank \(1\).

Complex multiplication

The elliptic curves in class 100800.n do not have complex multiplication.

Modular form 100800.2.a.n

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