Properties

Label 1422.h
Number of curves $1$
Conductor $1422$
CM no
Rank $1$

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

Elliptic curves in class 1422.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1422.h1 1422f1 \([1, -1, 1, -32, -57]\) \(4826809/316\) \(230364\) \([]\) \(240\) \(-0.22126\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1422.h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 1422.h do not have complex multiplication.

Modular form 1422.2.a.h

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + q^{5} - 3 q^{7} + q^{8} + q^{10} - 4 q^{11} - 7 q^{13} - 3 q^{14} + q^{16} + 4 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display