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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 10944.z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
10944.z1 | 10944bb1 | \([0, 0, 0, -3378, 102814]\) | \(-91368216064/45001899\) | \(-2099608599744\) | \([]\) | \(12288\) | \(1.0697\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10944.z1 has rank \(1\).
Complex multiplication
The elliptic curves in class 10944.z do not have complex multiplication.Modular form 10944.2.a.z
sage: E.q_eigenform(10)