Properties

Label 305760.dh
Number of curves $1$
Conductor $305760$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("dh1")
 
E.isogeny_class()
 

Elliptic curves in class 305760.dh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
305760.dh1 305760dh1 \([0, -1, 0, 915, 104805]\) \(421654016/24024195\) \(-4821752033280\) \([]\) \(758016\) \(1.1133\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 305760.dh1 has rank \(0\).

Complex multiplication

The elliptic curves in class 305760.dh do not have complex multiplication.

Modular form 305760.2.a.dh

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + q^{9} + 3 q^{11} - q^{13} - q^{15} - 6 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display