Properties

Label 93600db
Number of curves $1$
Conductor $93600$
CM no
Rank $1$

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

Elliptic curves in class 93600db

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
93600.r1 93600db1 \([0, 0, 0, 1080, 10800]\) \(13824/13\) \(-131010048000\) \([]\) \(79872\) \(0.82039\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 93600db1 has rank \(1\).

Complex multiplication

The elliptic curves in class 93600db do not have complex multiplication.

Modular form 93600.2.a.db

sage: E.q_eigenform(10)
 
\(q - 3q^{7} - 3q^{11} - q^{13} + 7q^{17} - 2q^{19} + O(q^{20})\)  Toggle raw display