Properties

Label 54096.t
Number of curves $1$
Conductor $54096$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 54096.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
54096.t1 54096d1 \([0, -1, 0, 4527, -1688931]\) \(116822144000/14076282141\) \(-1236010182236928\) \([]\) \(197120\) \(1.5753\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 54096.t1 has rank \(0\).

Complex multiplication

The elliptic curves in class 54096.t do not have complex multiplication.

Modular form 54096.2.a.t

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{9} - 5 q^{11} + 4 q^{13} - 6 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display