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SageMath
E = EllipticCurve("dy1")
E.isogeny_class()
Elliptic curves in class 78400.dy
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
78400.dy1 | 78400gc1 | \([0, -1, 0, -1633, 171137]\) | \(-196/5\) | \(-12293120000000\) | \([]\) | \(110592\) | \(1.1923\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 78400.dy1 has rank \(2\).
Complex multiplication
The elliptic curves in class 78400.dy do not have complex multiplication.Modular form 78400.2.a.dy
sage: E.q_eigenform(10)