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SageMath
E = EllipticCurve("dy1")
E.isogeny_class()
Elliptic curves in class 388416dy
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
388416.dy1 | 388416dy1 | \([0, -1, 0, 18111, -1131039]\) | \(30004847/42336\) | \(-926926780760064\) | \([]\) | \(1658880\) | \(1.5575\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 388416dy1 has rank \(0\).
Complex multiplication
The elliptic curves in class 388416dy do not have complex multiplication.Modular form 388416.2.a.dy
sage: E.q_eigenform(10)