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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 17424y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
17424.e1 | 17424y1 | \([0, 0, 0, -11979, -790614]\) | \(-1188\) | \(-160018047230976\) | \([]\) | \(67584\) | \(1.4233\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 17424y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 17424y do not have complex multiplication.Modular form 17424.2.a.y
sage: E.q_eigenform(10)