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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 320790.z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
320790.z1 | 320790z1 | \([1, 0, 1, 26726, 2951966]\) | \(87469256519/206343450\) | \(-4980629262073050\) | \([]\) | \(2138112\) | \(1.6960\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 320790.z1 has rank \(2\).
Complex multiplication
The elliptic curves in class 320790.z do not have complex multiplication.Modular form 320790.2.a.z
sage: E.q_eigenform(10)