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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 79560.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
79560.j1 | 79560r1 | \([0, 0, 0, 11652, 259508]\) | \(937470577664/698407515\) | \(-130339604079360\) | \([]\) | \(225792\) | \(1.3967\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 79560.j1 has rank \(2\).
Complex multiplication
The elliptic curves in class 79560.j do not have complex multiplication.Modular form 79560.2.a.j
sage: E.q_eigenform(10)