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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 26520.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
26520.j1 | 26520v1 | \([0, -1, 0, -141440, -39042900]\) | \(-152796558778456322/233895263671875\) | \(-479017500000000000\) | \([]\) | \(299520\) | \(2.0841\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 26520.j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 26520.j do not have complex multiplication.Modular form 26520.2.a.j
sage: E.q_eigenform(10)