Properties

Label 249696.di
Number of curves $1$
Conductor $249696$
CM no
Rank $0$

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

Elliptic curves in class 249696.di

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
249696.di1 249696di1 \([0, 0, 0, 6936, -78608]\) \(1536\) \(-24024798277632\) \([]\) \(442368\) \(1.2564\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 249696.di1 has rank \(0\).

Complex multiplication

The elliptic curves in class 249696.di do not have complex multiplication.

Modular form 249696.2.a.di

sage: E.q_eigenform(10)
 
\(q + 2 q^{5} - q^{7} + 2 q^{11} + q^{13} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display