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SageMath
E = EllipticCurve("by1")
E.isogeny_class()
Elliptic curves in class 133952by
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
133952.s1 | 133952by1 | \([0, 1, 0, -14301, 583237]\) | \(5054443262672896/591220696157\) | \(37838124554048\) | \([]\) | \(595584\) | \(1.3369\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 133952by1 has rank \(1\).
Complex multiplication
The elliptic curves in class 133952by do not have complex multiplication.Modular form 133952.2.a.by
sage: E.q_eigenform(10)