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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 286110j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
286110.j1 | 286110j1 | \([1, -1, 0, 60075, 6747381]\) | \(113808739434191/159630704640\) | \(-33631156484259840\) | \([]\) | \(2483712\) | \(1.8568\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 286110j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 286110j do not have complex multiplication.Modular form 286110.2.a.j
sage: E.q_eigenform(10)