Properties

Label 430950.h
Number of curves $1$
Conductor $430950$
CM no
Rank $1$

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

Elliptic curves in class 430950.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
430950.h1 430950h1 \([1, 1, 0, -2200, -30350]\) \(390625/102\) \(307709073750\) \([]\) \(774144\) \(0.91330\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 430950.h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 430950.h do not have complex multiplication.

Modular form 430950.2.a.h

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} - 3 q^{7} - q^{8} + q^{9} + 5 q^{11} - q^{12} + 3 q^{14} + q^{16} + q^{17} - q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display