Properties

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

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Show commands: SageMath
E = EllipticCurve("bc1")
 
E.isogeny_class()
 

Elliptic curves in class 54096.bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
54096.bc1 54096bt1 \([0, -1, 0, -12413, 2618001]\) \(-7023616000/93934323\) \(-2829127466656512\) \([]\) \(345600\) \(1.6465\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 54096.bc1 has rank \(0\).

Complex multiplication

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

Modular form 54096.2.a.bc

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{9} + 5 q^{11} + 6 q^{13} - 4 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display