Properties

Label 102245d
Number of curves $1$
Conductor $102245$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 102245d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
102245.i1 102245d1 \([1, -1, 0, -1975, 73750]\) \(-1459161/3125\) \(-1825137153125\) \([]\) \(259200\) \(1.0416\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 102245d1 has rank \(0\).

Complex multiplication

The elliptic curves in class 102245d do not have complex multiplication.

Modular form 102245.2.a.d

sage: E.q_eigenform(10)
 
\(q + q^{2} - 3 q^{3} - q^{4} - q^{5} - 3 q^{6} + 3 q^{7} - 3 q^{8} + 6 q^{9} - q^{10} + 3 q^{12} + 3 q^{14} + 3 q^{15} - q^{16} + 6 q^{18} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display