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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 143745y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
143745.ba1 | 143745y1 | \([1, 0, 1, -843, 9343]\) | \(-1305751357/105\) | \(-5318565\) | \([]\) | \(52416\) | \(0.33628\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 143745y1 has rank \(0\).
Complex multiplication
The elliptic curves in class 143745y do not have complex multiplication.Modular form 143745.2.a.y
sage: E.q_eigenform(10)