Properties

Label 100800ji
Number of curves $1$
Conductor $100800$
CM no
Rank $2$

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Show commands for: SageMath
sage: E = EllipticCurve("ji1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 100800ji

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
100800.t1 100800ji1 \([0, 0, 0, 2580, 144720]\) \(10733445/57344\) \(-10146860236800\) \([]\) \(239616\) \(1.1778\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 100800ji1 has rank \(2\).

Complex multiplication

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

Modular form 100800.2.a.ji

sage: E.q_eigenform(10)
 
\(q - q^{7} - 4q^{11} - 3q^{13} - 7q^{17} - 6q^{19} + O(q^{20})\)  Toggle raw display