Show commands:
SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 334620.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
334620.w1 | 334620w1 | \([0, 0, 0, -52728, -4655443]\) | \(46006272/55\) | \(19381761930960\) | \([]\) | \(988416\) | \(1.4607\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 334620.w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 334620.w do not have complex multiplication.Modular form 334620.2.a.w
sage: E.q_eigenform(10)