Properties

Label 471510t
Number of curves $1$
Conductor $471510$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 471510t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
471510.t1 471510t1 \([1, -1, 0, 355005, 52612821]\) \(40161710435115191/32980781952000\) \(-4063265317268352000\) \([]\) \(7372800\) \(2.2585\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 471510t1 has rank \(1\).

Complex multiplication

The elliptic curves in class 471510t do not have complex multiplication.

Modular form 471510.2.a.t

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