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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 13860.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
13860.y1 | 13860y1 | \([0, 0, 0, -51672, -4522156]\) | \(-81756451446784/24958395\) | \(-4657835508480\) | \([]\) | \(34560\) | \(1.4079\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 13860.y1 has rank \(0\).
Complex multiplication
The elliptic curves in class 13860.y do not have complex multiplication.Modular form 13860.2.a.y
sage: E.q_eigenform(10)