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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 190608.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
190608.y1 | 190608bx1 | \([0, -1, 0, 507, 45]\) | \(512000/297\) | \(-8344055808\) | \([]\) | \(124800\) | \(0.59319\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 190608.y1 has rank \(0\).
Complex multiplication
The elliptic curves in class 190608.y do not have complex multiplication.Modular form 190608.2.a.y
sage: E.q_eigenform(10)