Properties

Label 75810.di
Number of curves $1$
Conductor $75810$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("di1")
 
E.isogeny_class()
 

Elliptic curves in class 75810.di

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
75810.di1 75810dp1 \([1, 0, 0, 428680, 83433312]\) \(185183253170999/171032148000\) \(-8046358081982388000\) \([]\) \(2073600\) \(2.3149\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 75810.di1 has rank \(1\).

Complex multiplication

The elliptic curves in class 75810.di do not have complex multiplication.

Modular form 75810.2.a.di

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} + q^{5} + q^{6} - q^{7} + q^{8} + q^{9} + q^{10} - 5 q^{11} + q^{12} - 3 q^{13} - q^{14} + q^{15} + q^{16} - 5 q^{17} + q^{18} + O(q^{20})\) Copy content Toggle raw display