Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("ds1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 93600ds

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
93600.c1 93600ds1 \([0, 0, 0, -1260, -17280]\) \(-2963520/13\) \(-970444800\) \([]\) \(61440\) \(0.57741\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 93600ds1 has rank \(1\).

Complex multiplication

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

Modular form 93600.2.a.ds

sage: E.q_eigenform(10)
 
\(q - 5q^{7} + q^{11} - q^{13} - q^{17} + 4q^{19} + O(q^{20})\)  Toggle raw display