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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 69366e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
69366.b1 | 69366e1 | \([1, 1, 0, -82723, -10975091]\) | \(-62605248418149730489/15479314352625024\) | \(-15479314352625024\) | \([]\) | \(486864\) | \(1.8246\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 69366e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 69366e do not have complex multiplication.Modular form 69366.2.a.e
sage: E.q_eigenform(10)