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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 17640.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
17640.i1 | 17640r1 | \([0, 0, 0, -3108, -1419068]\) | \(-363080704/94921875\) | \(-868020300000000\) | \([]\) | \(61440\) | \(1.5457\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 17640.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 17640.i do not have complex multiplication.Modular form 17640.2.a.i
sage: E.q_eigenform(10)