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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 291525a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
291525.a1 | 291525a1 | \([0, -1, 1, -423908, 120882218]\) | \(-111701610496/18862875\) | \(-1422617106498046875\) | \([]\) | \(8847360\) | \(2.2100\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 291525a1 has rank \(2\).
Complex multiplication
The elliptic curves in class 291525a do not have complex multiplication.Modular form 291525.2.a.a
sage: E.q_eigenform(10)