Properties

Label 1300.c
Number of curves $1$
Conductor $1300$
CM no
Rank $0$

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

Elliptic curves in class 1300.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1300.c1 1300f1 \([0, 0, 0, 25, -50]\) \(10800/13\) \(-2080000\) \([]\) \(144\) \(-0.10149\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1300.c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 1300.c do not have complex multiplication.

Modular form 1300.2.a.c

sage: E.q_eigenform(10)
 
\(q - 3 q^{7} - 3 q^{9} + 3 q^{11} + q^{13} - q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display