Properties

Label 68970.c
Number of curves $1$
Conductor $68970$
CM no
Rank $1$

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

Elliptic curves in class 68970.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
68970.c1 68970f1 \([1, 1, 0, 3452, 44752]\) \(37579769391791/28445644800\) \(-3441923020800\) \([]\) \(152064\) \(1.0937\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 68970.c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 68970.c do not have complex multiplication.

Modular form 68970.2.a.c

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} - q^{5} + q^{6} - q^{7} - q^{8} + q^{9} + q^{10} - q^{12} - 5 q^{13} + q^{14} + q^{15} + q^{16} + 7 q^{17} - q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display