Properties

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

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 430950.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
430950.a1 430950a1 \([1, 1, 0, -2748450, -1799263500]\) \(-48711031225/1442688\) \(-68003705298750000000\) \([]\) \(25401600\) \(2.5840\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 430950.a1 has rank \(1\).

Complex multiplication

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

Modular form 430950.2.a.a

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