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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 381150y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
381150.y1 | 381150y1 | \([1, -1, 0, -5648847, -5736004499]\) | \(-12524640009705/1686616064\) | \(-2684442906255808051200\) | \([]\) | \(23417856\) | \(2.8442\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 381150y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 381150y do not have complex multiplication.Modular form 381150.2.a.y
sage: E.q_eigenform(10)