Properties

Label 92400gr
Number of curves $1$
Conductor $92400$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("gr1")
 
E.isogeny_class()
 

Elliptic curves in class 92400gr

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
92400.gh1 92400gr1 \([0, 1, 0, 217867, -20348637]\) \(17869652393984/13156171875\) \(-841995000000000000\) \([]\) \(1354752\) \(2.1278\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 92400gr1 has rank \(0\).

Complex multiplication

The elliptic curves in class 92400gr do not have complex multiplication.

Modular form 92400.2.a.gr

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{7} + q^{9} + q^{11} + 4 q^{13} + 5 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display