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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 215600.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
215600.y1 | 215600ba1 | \([0, 1, 0, -161128, -24960972]\) | \(-38401771585/22528\) | \(-271400619212800\) | \([]\) | \(1216512\) | \(1.7145\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 215600.y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 215600.y do not have complex multiplication.Modular form 215600.2.a.y
sage: E.q_eigenform(10)