Properties

Label 92778.m
Number of curves $1$
Conductor $92778$
CM no
Rank $2$

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

Elliptic curves in class 92778.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
92778.m1 92778t1 \([1, 1, 1, -16449, 806847]\) \(-222816910528753/539492352\) \(-1191738605568\) \([]\) \(306432\) \(1.1961\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 92778.m1 has rank \(2\).

Complex multiplication

The elliptic curves in class 92778.m do not have complex multiplication.

Modular form 92778.2.a.m

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - 2 q^{5} - q^{6} + q^{7} + q^{8} + q^{9} - 2 q^{10} - 6 q^{11} - q^{12} - q^{13} + q^{14} + 2 q^{15} + q^{16} + 6 q^{17} + q^{18} + O(q^{20})\) Copy content Toggle raw display