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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 17629b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
17629.c1 | 17629b1 | \([1, 1, 1, -584, 5494]\) | \(-912673/61\) | \(-1472391709\) | \([]\) | \(9856\) | \(0.51115\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 17629b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 17629b do not have complex multiplication.Modular form 17629.2.a.b
sage: E.q_eigenform(10)