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SageMath
E = EllipticCurve("bi1")
E.isogeny_class()
Elliptic curves in class 311696.bi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
311696.bi1 | 311696bi1 | \([0, 0, 0, -1067, -21670]\) | \(-271063881/252448\) | \(-125117267968\) | \([]\) | \(414720\) | \(0.82590\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 311696.bi1 has rank \(1\).
Complex multiplication
The elliptic curves in class 311696.bi do not have complex multiplication.Modular form 311696.2.a.bi
sage: E.q_eigenform(10)