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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 229320.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
229320.e1 | 229320ba1 | \([0, 0, 0, -10326603, 13403543398]\) | \(-693346671296498/40610171875\) | \(-7133136721637472000000\) | \([]\) | \(17971200\) | \(2.9493\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 229320.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 229320.e do not have complex multiplication.Modular form 229320.2.a.e
sage: E.q_eigenform(10)