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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 29400.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
29400.w1 | 29400f1 | \([0, -1, 0, -3348, -223803]\) | \(-88218880/413343\) | \(-19451756242800\) | \([]\) | \(46080\) | \(1.2346\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 29400.w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 29400.w do not have complex multiplication.Modular form 29400.2.a.w
sage: E.q_eigenform(10)