Properties

Label 975.d
Number of curves $1$
Conductor $975$
CM no
Rank $0$

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

Elliptic curves in class 975.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
975.d1 975e1 \([1, 1, 1, -1138, -15844]\) \(-417267265/19773\) \(-7723828125\) \([]\) \(720\) \(0.66002\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 975.d1 has rank \(0\).

Complex multiplication

The elliptic curves in class 975.d do not have complex multiplication.

Modular form 975.2.a.d

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