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SageMath
E = EllipticCurve("dy1")
E.isogeny_class()
Elliptic curves in class 14400.dy
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
14400.dy1 | 14400dx1 | \([0, 0, 0, 180, -2160]\) | \(270\) | \(-2388787200\) | \([]\) | \(5376\) | \(0.48236\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14400.dy1 has rank \(1\).
Complex multiplication
The elliptic curves in class 14400.dy do not have complex multiplication.Modular form 14400.2.a.dy
sage: E.q_eigenform(10)