Properties

Label 154075.d
Number of curves $1$
Conductor $154075$
CM no
Rank $0$

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

Elliptic curves in class 154075.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
154075.d1 154075d1 \([0, -1, 1, -408, 4093]\) \(-481890304/154075\) \(-2407421875\) \([]\) \(194304\) \(0.51305\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 154075.d1 has rank \(0\).

Complex multiplication

The elliptic curves in class 154075.d do not have complex multiplication.

Modular form 154075.2.a.d

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} + 2 q^{3} + 2 q^{4} + 4 q^{6} + 4 q^{7} + q^{9} - 4 q^{11} + 4 q^{12} + 6 q^{13} + 8 q^{14} - 4 q^{16} + 5 q^{17} + 2 q^{18} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display