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SageMath
E = EllipticCurve("bz1")
E.isogeny_class()
Elliptic curves in class 170352bz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
170352.ee1 | 170352bz1 | \([0, 0, 0, -183027, -34637902]\) | \(-47045881/8736\) | \(-125909997552009216\) | \([]\) | \(1290240\) | \(2.0057\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 170352bz1 has rank \(1\).
Complex multiplication
The elliptic curves in class 170352bz do not have complex multiplication.Modular form 170352.2.a.bz
sage: E.q_eigenform(10)