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SageMath
E = EllipticCurve("ey1")
E.isogeny_class()
Elliptic curves in class 364560.ey
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
364560.ey1 | 364560ey1 | \([0, 1, 0, -8154186840, 293688883962900]\) | \(-124427822010671478697670089/5317924709672681472000\) | \(-2562656354993280215037247488000\) | \([]\) | \(826277760\) | \(4.6010\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 364560.ey1 has rank \(1\).
Complex multiplication
The elliptic curves in class 364560.ey do not have complex multiplication.Modular form 364560.2.a.ey
sage: E.q_eigenform(10)