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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 435344.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
435344.y1 | 435344y1 | \([0, 0, 0, -416, -2704]\) | \(884736/161\) | \(1448824832\) | \([]\) | \(158976\) | \(0.47658\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 435344.y1 has rank \(0\).
Complex multiplication
The elliptic curves in class 435344.y do not have complex multiplication.Modular form 435344.2.a.y
sage: E.q_eigenform(10)