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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 112632.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
112632.ba1 | 112632h1 | \([0, 1, 0, -56067752, 161572757472]\) | \(-1120816166918692/1601613\) | \(-27853921641251976192\) | \([]\) | \(6500736\) | \(3.0024\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 112632.ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 112632.ba do not have complex multiplication.Modular form 112632.2.a.ba
sage: E.q_eigenform(10)