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SageMath
E = EllipticCurve("dy1")
E.isogeny_class()
Elliptic curves in class 68400dy
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
68400.h1 | 68400dy1 | \([0, 0, 0, -3375, -303750]\) | \(-2160/19\) | \(-37397700000000\) | \([]\) | \(172800\) | \(1.2870\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 68400dy1 has rank \(1\).
Complex multiplication
The elliptic curves in class 68400dy do not have complex multiplication.Modular form 68400.2.a.dy
sage: E.q_eigenform(10)