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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 221760.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
221760.e1 | 221760lv1 | \([0, 0, 0, -15888, 885152]\) | \(-37135043584/6847995\) | \(-81792014008320\) | \([]\) | \(737280\) | \(1.3942\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 221760.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 221760.e do not have complex multiplication.Modular form 221760.2.a.e
sage: E.q_eigenform(10)