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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 440440.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
440440.u1 | 440440u1 | \([0, -1, 0, -2833376, -1925425940]\) | \(-693346671296498/40610171875\) | \(-147340076435552000000\) | \([]\) | \(14851200\) | \(2.6260\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 440440.u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 440440.u do not have complex multiplication.Modular form 440440.2.a.u
sage: E.q_eigenform(10)