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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 69366b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
69366.f1 | 69366b1 | \([1, 1, 0, -326, -27828]\) | \(-3849961626217/329050384344\) | \(-329050384344\) | \([]\) | \(170400\) | \(0.88958\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 69366b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 69366b do not have complex multiplication.Modular form 69366.2.a.b
sage: E.q_eigenform(10)