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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 290145z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
290145.z1 | 290145z1 | \([1, 0, 1, -2628, -96377]\) | \(-2385427495921/3369140625\) | \(-2833447265625\) | \([]\) | \(337920\) | \(1.0816\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 290145z1 has rank \(0\).
Complex multiplication
The elliptic curves in class 290145z do not have complex multiplication.Modular form 290145.2.a.z
sage: E.q_eigenform(10)