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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 81120j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
81120.r1 | 81120j1 | \([0, -1, 0, 30195, -7390683]\) | \(153990656/1279395\) | \(-25294419151073280\) | \([]\) | \(580608\) | \(1.8288\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 81120j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 81120j do not have complex multiplication.Modular form 81120.2.a.j
sage: E.q_eigenform(10)