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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 13860.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
13860.a1 | 13860j1 | \([0, 0, 0, -17677848, -28621396172]\) | \(-3273741656681120014336/1733575611796875\) | \(-323526814975980000000\) | \([]\) | \(725760\) | \(2.8854\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 13860.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 13860.a do not have complex multiplication.Modular form 13860.2.a.a
sage: E.q_eigenform(10)