Properties

Label 90944db
Number of curves $1$
Conductor $90944$
CM no
Rank $1$

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

Elliptic curves in class 90944db

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
90944.dg1 90944db1 \([0, 1, 0, -65, -318529]\) \(-1/1421\) \(-43825031806976\) \([]\) \(196608\) \(1.2965\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 90944db1 has rank \(1\).

Complex multiplication

The elliptic curves in class 90944db do not have complex multiplication.

Modular form 90944.2.a.db

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} - 2 q^{9} - 5 q^{11} - 5 q^{13} + q^{15} + 4 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display