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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 43350u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
43350.m1 | 43350u1 | \([1, 1, 0, 4132550, 212276500]\) | \(1982251/1152\) | \(-4535986276010250000000\) | \([]\) | \(3769920\) | \(2.8450\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 43350u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 43350u do not have complex multiplication.Modular form 43350.2.a.u
sage: E.q_eigenform(10)