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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 106722.bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
106722.bh1 | 106722e1 | \([1, -1, 0, -35228265, 81523615949]\) | \(-24052806603/360448\) | \(-72455998152057591988224\) | \([]\) | \(14515200\) | \(3.1897\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 106722.bh1 has rank \(0\).
Complex multiplication
The elliptic curves in class 106722.bh do not have complex multiplication.Modular form 106722.2.a.bh
sage: E.q_eigenform(10)