Properties

Label 7400.d
Number of curves $1$
Conductor $7400$
CM no
Rank $1$

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

Elliptic curves in class 7400.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7400.d1 7400i1 \([0, -1, 0, 19792, 9246412]\) \(42868750/1874161\) \(-37483220000000000\) \([]\) \(46080\) \(1.8600\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7400.d1 has rank \(1\).

Complex multiplication

The elliptic curves in class 7400.d do not have complex multiplication.

Modular form 7400.2.a.d

sage: E.q_eigenform(10)
 
\(q - q^{3} + 2 q^{7} - 2 q^{9} - 3 q^{11} + 7 q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display