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SageMath
E = EllipticCurve("bi1")
E.isogeny_class()
Elliptic curves in class 64400.bi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
64400.bi1 | 64400bb1 | \([0, 0, 0, 368125, -20618750]\) | \(137927116575/84410368\) | \(-3376414720000000000\) | \([]\) | \(875520\) | \(2.2445\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 64400.bi1 has rank \(0\).
Complex multiplication
The elliptic curves in class 64400.bi do not have complex multiplication.Modular form 64400.2.a.bi
sage: E.q_eigenform(10)