Properties

Label 100800.hf
Number of curves $1$
Conductor $100800$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("hf1")
 
E.isogeny_class()
 

Elliptic curves in class 100800.hf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
100800.hf1 100800bx1 \([0, 0, 0, 64500, -18090000]\) \(10733445/57344\) \(-158544691200000000\) \([]\) \(1198080\) \(1.9825\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 100800.hf1 has rank \(0\).

Complex multiplication

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

Modular form 100800.2.a.hf

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