Properties

Label 17472db
Number of curves $1$
Conductor $17472$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("db1")
 
E.isogeny_class()
 

Elliptic curves in class 17472db

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
17472.ce1 17472db1 \([0, 1, 0, -481, 4511]\) \(-47045881/8736\) \(-2290089984\) \([]\) \(7680\) \(0.52047\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 17472db1 has rank \(1\).

Complex multiplication

The elliptic curves in class 17472db do not have complex multiplication.

Modular form 17472.2.a.db

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} + q^{7} + q^{9} + 3 q^{11} + q^{13} - q^{15} + 5 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display