Properties

Label 141570dn
Number of curves $1$
Conductor $141570$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("dn1")
 
E.isogeny_class()
 

Elliptic curves in class 141570dn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
141570.c1 141570dn1 \([1, -1, 0, 1390680, -550618304]\) \(3372036481719478199/3434349802291200\) \(-302940561710304460800\) \([]\) \(5612544\) \(2.6169\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 141570dn1 has rank \(0\).

Complex multiplication

The elliptic curves in class 141570dn do not have complex multiplication.

Modular form 141570.2.a.dn

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} - 4 q^{7} - q^{8} + q^{10} + q^{13} + 4 q^{14} + q^{16} - 4 q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display