Properties

Label 21780.c
Number of curves $1$
Conductor $21780$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 21780.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
21780.c1 21780k1 \([0, 0, 0, -2456553, 1493042177]\) \(-1161633816071508736/10089075234375\) \(-14239155797583750000\) \([]\) \(685440\) \(2.4999\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 21780.c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 21780.c do not have complex multiplication.

Modular form 21780.2.a.c

sage: E.q_eigenform(10)
 
\(q - q^{5} - 2 q^{7} - 4 q^{13} + 7 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display