Properties

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

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 430950.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
430950.u1 430950u1 \([1, 1, 0, -6468985, 6199700005]\) \(248103063516113545/5856414400512\) \(706694843403023155200\) \([]\) \(33384960\) \(2.7859\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 430950.u1 has rank \(1\).

Complex multiplication

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

Modular form 430950.2.a.u

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