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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 54390.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
54390.w1 | 54390bc1 | \([1, 0, 1, -1892798, 1411032368]\) | \(-6374526742073108809/3623549056727040\) | \(-426306922974879528960\) | \([]\) | \(2787840\) | \(2.6615\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 54390.w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 54390.w do not have complex multiplication.Modular form 54390.2.a.w
sage: E.q_eigenform(10)