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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 3822.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3822.f1 | 3822a1 | \([1, 1, 0, 26533, 894237]\) | \(358321516679/265814016\) | \(-1532364905250816\) | \([]\) | \(19152\) | \(1.6020\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3822.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3822.f do not have complex multiplication.Modular form 3822.2.a.f
sage: E.q_eigenform(10)