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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 24150.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
24150.u1 | 24150k1 | \([1, 1, 0, 227400, 28104000]\) | \(83228502970940543/69854999176704\) | \(-1091484362136000000\) | \([]\) | \(427680\) | \(2.1488\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 24150.u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 24150.u do not have complex multiplication.Modular form 24150.2.a.u
sage: E.q_eigenform(10)