Properties

Label 93600.eb
Number of curves $1$
Conductor $93600$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("eb1")
 
E.isogeny_class()
 

Elliptic curves in class 93600.eb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
93600.eb1 93600fc1 \([0, 0, 0, -300, 876800]\) \(-1600/177957\) \(-332110471680000\) \([]\) \(368640\) \(1.4653\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 93600.eb1 has rank \(1\).

Complex multiplication

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

Modular form 93600.2.a.eb

sage: E.q_eigenform(10)
 
\(q + 3 q^{7} - 5 q^{11} + q^{13} + 5 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display