Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("is1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 78400.is

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
78400.is1 78400bh1 \([0, 1, 0, -1633, -30017]\) \(-5000\) \(-96378060800\) \([]\) \(69120\) \(0.83039\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 78400.is1 has rank \(0\).

Complex multiplication

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

Modular form 78400.2.a.is

sage: E.q_eigenform(10)
 
\(q + q^{3} - 2 q^{9} + 5 q^{11} + 5 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display