Properties

Label 27048l
Number of curves $1$
Conductor $27048$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 27048l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
27048.w1 27048l1 \([0, 1, 0, -19224, 1450224]\) \(-3261064466/1917027\) \(-461898361903104\) \([]\) \(115200\) \(1.5164\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 27048l1 has rank \(0\).

Complex multiplication

The elliptic curves in class 27048l do not have complex multiplication.

Modular form 27048.2.a.l

sage: E.q_eigenform(10)
 
\(q + q^{3} + 3 q^{5} + q^{9} + q^{13} + 3 q^{15} + 4 q^{17} + O(q^{20})\) Copy content Toggle raw display