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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 122018.bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
122018.bh1 | 122018x1 | \([1, 1, 1, 120747, -6972997]\) | \(309512375/212992\) | \(-133979332345151488\) | \([]\) | \(1270080\) | \(1.9750\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 122018.bh1 has rank \(0\).
Complex multiplication
The elliptic curves in class 122018.bh do not have complex multiplication.Modular form 122018.2.a.bh
sage: E.q_eigenform(10)