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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 116242.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
116242.y1 | 116242t1 | \([1, 1, 1, 4144, 47731]\) | \(463391/322\) | \(-5468707299202\) | \([]\) | \(399456\) | \(1.1327\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 116242.y1 has rank \(0\).
Complex multiplication
The elliptic curves in class 116242.y do not have complex multiplication.Modular form 116242.2.a.y
sage: E.q_eigenform(10)