Properties

Label 78400.dl
Number of curves $1$
Conductor $78400$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("dl1")
 
E.isogeny_class()
 

Elliptic curves in class 78400.dl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
78400.dl1 78400bn1 \([0, -1, 0, -80033, 58539937]\) \(-196/5\) \(-1446273274880000000\) \([]\) \(774144\) \(2.1652\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 78400.dl1 has rank \(0\).

Complex multiplication

The elliptic curves in class 78400.dl do not have complex multiplication.

Modular form 78400.2.a.dl

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{9} - 2 q^{11} + 4 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display