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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 17640l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
17640.w1 | 17640l1 | \([0, 0, 0, 3697197, -86239122802]\) | \(649381163998/373669453125\) | \(-3216098912267072160000000\) | \([]\) | \(2634240\) | \(3.3816\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 17640l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 17640l do not have complex multiplication.Modular form 17640.2.a.l
sage: E.q_eigenform(10)