Properties

Label 11368.h
Number of curves $1$
Conductor $11368$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 11368.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11368.h1 11368d1 \([0, -1, 0, 327, -3107]\) \(128000/203\) \(-6113983232\) \([]\) \(6144\) \(0.56302\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11368.h1 has rank \(2\).

Complex multiplication

The elliptic curves in class 11368.h do not have complex multiplication.

Modular form 11368.2.a.h

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{9} - 6 q^{11} - 4 q^{13} - 6 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display