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SageMath
E = EllipticCurve("hz1")
E.isogeny_class()
Elliptic curves in class 159936hz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
159936.b1 | 159936hz1 | \([0, -1, 0, 1307745, -738294339]\) | \(13681452614144/20927272323\) | \(-378331933461134939328\) | \([]\) | \(8709120\) | \(2.6339\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 159936hz1 has rank \(0\).
Complex multiplication
The elliptic curves in class 159936hz do not have complex multiplication.Modular form 159936.2.a.hz
sage: E.q_eigenform(10)