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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 40080.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
40080.q1 | 40080h1 | \([0, -1, 0, -120, -225]\) | \(12043745536/5072625\) | \(81162000\) | \([]\) | \(13440\) | \(0.21454\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 40080.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 40080.q do not have complex multiplication.Modular form 40080.2.a.q
sage: E.q_eigenform(10)