Properties

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

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Show commands: SageMath
E = EllipticCurve("o1")
 
E.isogeny_class()
 

Elliptic curves in class 78400.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
78400.o1 78400jr1 \([0, 0, 0, 980, -215600]\) \(1323/256\) \(-20141047808000\) \([]\) \(221184\) \(1.2321\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 78400.o1 has rank \(1\).

Complex multiplication

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

Modular form 78400.2.a.o

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} + 6 q^{9} + 2 q^{13} - 2 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display