Properties

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

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Show commands: SageMath
E = EllipticCurve("ei1")
 
E.isogeny_class()
 

Elliptic curves in class 93600.ei

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
93600.ei1 93600dl1 \([0, 0, 0, -75, -13250]\) \(-8/13\) \(-75816000000\) \([]\) \(67200\) \(0.76661\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 93600.ei1 has rank \(1\).

Complex multiplication

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

Modular form 93600.2.a.ei

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