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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 433200y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
433200.y1 | 433200y1 | \([0, -1, 0, -262928, 51902307]\) | \(15573760/27\) | \(3485027136013200\) | \([]\) | \(4377600\) | \(1.8761\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 433200y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 433200y do not have complex multiplication.Modular form 433200.2.a.y
sage: E.q_eigenform(10)