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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 473382.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
473382.y1 | 473382y1 | \([1, -1, 0, 214095, 107945117]\) | \(2284322013/11927552\) | \(-5666777219341615104\) | \([]\) | \(8434176\) | \(2.2806\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 473382.y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 473382.y do not have complex multiplication.Modular form 473382.2.a.y
sage: E.q_eigenform(10)