Properties

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

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 54096.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
54096.c1 54096l1 \([0, -1, 0, -3312465, 3338439021]\) \(-389094786976768/240588123669\) \(-2485401239399993365248\) \([]\) \(3838464\) \(2.8072\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 54096.c1 has rank \(1\).

Complex multiplication

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

Modular form 54096.2.a.c

sage: E.q_eigenform(10)
 
\(q - q^{3} - 4 q^{5} + q^{9} + q^{11} + 4 q^{15} - 6 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display