Properties

Label 4851.d
Number of curves $1$
Conductor $4851$
CM no
Rank $0$

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

Elliptic curves in class 4851.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4851.d1 4851r1 \([1, -1, 1, -11255, -473560]\) \(-765625/33\) \(-6795507065193\) \([]\) \(8064\) \(1.2281\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4851.d1 has rank \(0\).

Complex multiplication

The elliptic curves in class 4851.d do not have complex multiplication.

Modular form 4851.2.a.d

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