Properties

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

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Show commands: SageMath
E = EllipticCurve("ih1")
 
E.isogeny_class()
 

Elliptic curves in class 430950.ih

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
430950.ih1 430950ih1 \([1, 0, 0, -426813, -1389289383]\) \(-674636521/65025000\) \(-828795158328515625000\) \([]\) \(19768320\) \(2.6934\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 430950.ih1 has rank \(1\).

Complex multiplication

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

Modular form 430950.2.a.ih

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