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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 43758.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
43758.y1 | 43758m1 | \([1, -1, 1, 1402, 9829]\) | \(15494117157/11240944\) | \(-221255500752\) | \([]\) | \(76032\) | \(0.86523\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 43758.y1 has rank \(0\).
Complex multiplication
The elliptic curves in class 43758.y do not have complex multiplication.Modular form 43758.2.a.y
sage: E.q_eigenform(10)