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SageMath
E = EllipticCurve("bz1")
E.isogeny_class()
Elliptic curves in class 91035bz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
91035.f1 | 91035bz1 | \([0, 0, 1, -27311367, -52637418950]\) | \(443032031678464/21012699645\) | \(106856452514093863356405\) | \([]\) | \(10340352\) | \(3.1794\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 91035bz1 has rank \(1\).
Complex multiplication
The elliptic curves in class 91035bz do not have complex multiplication.Modular form 91035.2.a.bz
sage: E.q_eigenform(10)