Properties

Label 110400.e
Number of curves $1$
Conductor $110400$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 110400.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
110400.e1 110400gf1 \([0, -1, 0, -53153, -2670783]\) \(2534167381585/990074583\) \(6488552787148800\) \([]\) \(983040\) \(1.7328\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 110400.e1 has rank \(0\).

Complex multiplication

The elliptic curves in class 110400.e do not have complex multiplication.

Modular form 110400.2.a.e

sage: E.q_eigenform(10)
 
\(q - q^{3} - 5 q^{7} + q^{9} + 5 q^{11} + q^{13} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display