Properties

Label 1368.h
Number of curves $1$
Conductor $1368$
CM no
Rank $1$

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

Elliptic curves in class 1368.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1368.h1 1368f1 \([0, 0, 0, -12, -92]\) \(-1024/19\) \(-3545856\) \([]\) \(192\) \(-0.062173\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1368.h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 1368.h do not have complex multiplication.

Modular form 1368.2.a.h

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