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SageMath
E = EllipticCurve("bz1")
E.isogeny_class()
Elliptic curves in class 450840.bz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
450840.bz1 | 450840bz1 | \([0, 1, 0, -40876256, -192063025056]\) | \(-152796558778456322/233895263671875\) | \(-11562317958457500000000000\) | \([]\) | \(86261760\) | \(3.5007\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 450840.bz1 has rank \(0\).
Complex multiplication
The elliptic curves in class 450840.bz do not have complex multiplication.Modular form 450840.2.a.bz
sage: E.q_eigenform(10)