Properties

Label 58950.cf
Number of curves $1$
Conductor $58950$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cf1")
 
E.isogeny_class()
 

Elliptic curves in class 58950.cf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
58950.cf1 58950br1 \([1, -1, 1, -193730, -32439103]\) \(70593496254289/824180736\) \(9387933696000000\) \([]\) \(564480\) \(1.8771\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 58950.cf1 has rank \(1\).

Complex multiplication

The elliptic curves in class 58950.cf do not have complex multiplication.

Modular form 58950.2.a.cf

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + 3 q^{7} + q^{8} - q^{11} + 2 q^{13} + 3 q^{14} + q^{16} - 5 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display