Properties

Label 111012.h
Number of curves $1$
Conductor $111012$
CM no
Rank $1$

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

Elliptic curves in class 111012.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
111012.h1 111012f1 \([0, 1, 0, -309, -3321]\) \(-15204352/11979\) \(-2579030784\) \([]\) \(73440\) \(0.50444\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 111012.h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 111012.h do not have complex multiplication.

Modular form 111012.2.a.h

sage: E.q_eigenform(10)
 
\(q + q^{3} + 3 q^{5} + q^{9} - q^{11} - 6 q^{13} + 3 q^{15} + 2 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display