Properties

Label 27448.d
Number of curves $1$
Conductor $27448$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 27448.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
27448.d1 27448b1 \([0, 0, 0, -61447, 5867642]\) \(-100227246636221136/97434364871\) \(-24943197406976\) \([]\) \(147200\) \(1.4915\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 27448.d1 has rank \(1\).

Complex multiplication

The elliptic curves in class 27448.d do not have complex multiplication.

Modular form 27448.2.a.d

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