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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 13860n
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 13860.i1 | 13860n1 | \([0, 0, 0, 55392, 164454932]\) | \(100715742101504/62663434246875\) | \(-11694500752888800000\) | \([]\) | \(241920\) | \(2.3379\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 13860n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 13860n do not have complex multiplication.Modular form 13860.2.a.n
sage: E.q_eigenform(10)