Properties

Label 48672.d
Number of curves $1$
Conductor $48672$
CM no
Rank $1$

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

Elliptic curves in class 48672.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
48672.d1 48672bz1 \([0, 0, 0, 52728, 11424400]\) \(6656/27\) \(-65765489792790528\) \([]\) \(599040\) \(1.9097\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 48672.d1 has rank \(1\).

Complex multiplication

The elliptic curves in class 48672.d do not have complex multiplication.

Modular form 48672.2.a.d

sage: E.q_eigenform(10)
 
\(q - 4 q^{5} + 3 q^{7} - 2 q^{11} - 6 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display