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SageMath
E = EllipticCurve("bi1")
E.isogeny_class()
Elliptic curves in class 426888.bi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
426888.bi1 | 426888bi1 | \([0, 0, 0, -199089891, 1081239559246]\) | \(-373983599313324\) | \(-2333558977440768\) | \([]\) | \(34675200\) | \(3.0696\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 426888.bi1 has rank \(1\).
Complex multiplication
The elliptic curves in class 426888.bi do not have complex multiplication.Modular form 426888.2.a.bi
sage: E.q_eigenform(10)