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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 81120ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
81120.j1 | 81120ba1 | \([0, -1, 0, 6704, 803620]\) | \(2278334968/20503125\) | \(-299821953600000\) | \([]\) | \(199680\) | \(1.4591\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 81120ba1 has rank \(0\).
Complex multiplication
The elliptic curves in class 81120ba do not have complex multiplication.Modular form 81120.2.a.ba
sage: E.q_eigenform(10)