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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 72450.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
72450.y1 | 72450bx1 | \([1, -1, 0, 8283, -71659]\) | \(137927116575/84410368\) | \(-38459473920000\) | \([]\) | \(233472\) | \(1.2959\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 72450.y1 has rank \(0\).
Complex multiplication
The elliptic curves in class 72450.y do not have complex multiplication.Modular form 72450.2.a.y
sage: E.q_eigenform(10)