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SageMath
E = EllipticCurve("du1")
E.isogeny_class()
Elliptic curves in class 134640.du
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
134640.du1 | 134640cy1 | \([0, 0, 0, -16347, -1431414]\) | \(-4368317413923/5475734000\) | \(-605572374528000\) | \([]\) | \(460800\) | \(1.5298\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 134640.du1 has rank \(0\).
Complex multiplication
The elliptic curves in class 134640.du do not have complex multiplication.Modular form 134640.2.a.du
sage: E.q_eigenform(10)