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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 101150y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
101150.be1 | 101150y1 | \([1, 0, 1, -1394576, -534967202]\) | \(2751936625/458752\) | \(50002229337088000000\) | \([]\) | \(2820096\) | \(2.5011\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 101150y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 101150y do not have complex multiplication.Modular form 101150.2.a.y
sage: E.q_eigenform(10)