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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 146523y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
146523.r1 | 146523y1 | \([1, 1, 0, -77704, 8293381]\) | \(81721188208261/129140163\) | \(81995351114079\) | \([]\) | \(998784\) | \(1.5679\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 146523y1 has rank \(0\).
Complex multiplication
The elliptic curves in class 146523y do not have complex multiplication.Modular form 146523.2.a.y
sage: E.q_eigenform(10)