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SageMath
E = EllipticCurve("bz1")
E.isogeny_class()
Elliptic curves in class 67760bz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
67760.o1 | 67760bz1 | \([0, -1, 0, -637600, -195797248]\) | \(-57839429434456681/16470860000\) | \(-8163221749760000\) | \([]\) | \(645120\) | \(2.0338\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 67760bz1 has rank \(0\).
Complex multiplication
The elliptic curves in class 67760bz do not have complex multiplication.Modular form 67760.2.a.bz
sage: E.q_eigenform(10)