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SageMath
E = EllipticCurve("bs1")
E.isogeny_class()
Elliptic curves in class 12870.bs
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
12870.bs1 | 12870bt1 | \([1, -1, 1, 4702342, 1889166777]\) | \(15773893582068027616679/11245977600000000000\) | \(-8198317670400000000000\) | \([]\) | \(1429120\) | \(2.8933\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 12870.bs1 has rank \(0\).
Complex multiplication
The elliptic curves in class 12870.bs do not have complex multiplication.Modular form 12870.2.a.bs
sage: E.q_eigenform(10)