Properties

Label 471510.v
Number of curves $1$
Conductor $471510$
CM no
Rank $1$

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

Elliptic curves in class 471510.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
471510.v1 471510v1 \([1, -1, 0, -15300, -905904]\) \(-3215138887129/1041361920\) \(-128296829905920\) \([]\) \(1966080\) \(1.4198\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 471510.v1 has rank \(1\).

Complex multiplication

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

Modular form 471510.2.a.v

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