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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 254320.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
254320.u1 | 254320u1 | \([0, -1, 0, -342680, -95651600]\) | \(-3759529209744889/1171280000000\) | \(-1386495672320000000\) | \([]\) | \(4354560\) | \(2.1945\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 254320.u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 254320.u do not have complex multiplication.Modular form 254320.2.a.u
sage: E.q_eigenform(10)