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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 46240.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
46240.u1 | 46240i1 | \([0, 1, 0, 18400, 778748]\) | \(55742968/53125\) | \(-656541876800000\) | \([]\) | \(138240\) | \(1.5303\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 46240.u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 46240.u do not have complex multiplication.Modular form 46240.2.a.u
sage: E.q_eigenform(10)