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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 116160.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
116160.w1 | 116160fe1 | \([0, -1, 0, -67921, -6791255]\) | \(-2311381447936/234375\) | \(-3513840000000\) | \([]\) | \(365568\) | \(1.4409\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 116160.w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 116160.w do not have complex multiplication.Modular form 116160.2.a.w
sage: E.q_eigenform(10)