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SageMath
E = EllipticCurve("cw1")
E.isogeny_class()
Elliptic curves in class 314721.cw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
314721.cw1 | 314721cw1 | \([0, 0, 1, 1153977, 89914041]\) | \(45056/27\) | \(-101841855194960388387\) | \([]\) | \(15611904\) | \(2.5285\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 314721.cw1 has rank \(1\).
Complex multiplication
The elliptic curves in class 314721.cw do not have complex multiplication.Modular form 314721.2.a.cw
sage: E.q_eigenform(10)