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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 175329.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
175329.y1 | 175329y1 | \([0, 0, 1, -104907, -15261579]\) | \(-98867482624/20696067\) | \(-26728307614777923\) | \([]\) | \(2856000\) | \(1.8738\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 175329.y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 175329.y do not have complex multiplication.Modular form 175329.2.a.y
sage: E.q_eigenform(10)