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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 3822.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3822.u1 | 3822r1 | \([1, 1, 1, -3823, -164347]\) | \(-1071912625/1364688\) | \(-7867154747088\) | \([]\) | \(10752\) | \(1.1677\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3822.u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 3822.u do not have complex multiplication.Modular form 3822.2.a.u
sage: E.q_eigenform(10)