Properties

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

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 430950.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
430950.v1 430950v1 \([1, 1, 0, -55, -125]\) \(895973/306\) \(6464250\) \([]\) \(98304\) \(0.0088470\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 430950.v1 has rank \(1\).

Complex multiplication

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

Modular form 430950.2.a.v

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