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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 88725.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88725.y1 | 88725b1 | \([0, -1, 1, -75210633, 251446726793]\) | \(-21842779439104/37059435\) | \(-79827465904313208046875\) | \([]\) | \(10063872\) | \(3.2895\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88725.y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 88725.y do not have complex multiplication.Modular form 88725.2.a.y
sage: E.q_eigenform(10)