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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 116688.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
116688.j1 | 116688j1 | \([0, -1, 0, 88, -4752]\) | \(18191447/2362932\) | \(-9678569472\) | \([]\) | \(57600\) | \(0.59544\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 116688.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 116688.j do not have complex multiplication.Modular form 116688.2.a.j
sage: E.q_eigenform(10)