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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 29645.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
29645.b1 | 29645g1 | \([1, -1, 1, 582, -9754]\) | \(2079/5\) | \(-52517925845\) | \([]\) | \(17424\) | \(0.74096\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 29645.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 29645.b do not have complex multiplication.Modular form 29645.2.a.b
sage: E.q_eigenform(10)