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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 35520t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
35520.r1 | 35520t1 | \([0, -1, 0, -17985, 1226817]\) | \(-2454365649169/1035763200\) | \(-271519108300800\) | \([]\) | \(193536\) | \(1.4774\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 35520t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 35520t do not have complex multiplication.Modular form 35520.2.a.t
sage: E.q_eigenform(10)