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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 43560.z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
43560.z1 | 43560o1 | \([0, 0, 0, -43923, -1200562]\) | \(29282/15\) | \(4800541416929280\) | \([]\) | \(236544\) | \(1.7012\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 43560.z1 has rank \(1\).
Complex multiplication
The elliptic curves in class 43560.z do not have complex multiplication.Modular form 43560.2.a.z
sage: E.q_eigenform(10)