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SageMath
E = EllipticCurve("ju1")
E.isogeny_class()
Elliptic curves in class 270480.ju
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
270480.ju1 | 270480ju1 | \([0, 1, 0, -9865, 374723]\) | \(-3525581824/9315\) | \(-280550511360\) | \([]\) | \(506880\) | \(1.0717\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 270480.ju1 has rank \(1\).
Complex multiplication
The elliptic curves in class 270480.ju do not have complex multiplication.Modular form 270480.2.a.ju
sage: E.q_eigenform(10)