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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 357390t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
357390.t1 | 357390t1 | \([1, -1, 0, -3110985, -8085481475]\) | \(-268943595121/2125873200\) | \(-26320473200332480474800\) | \([]\) | \(28366848\) | \(2.9849\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 357390t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 357390t do not have complex multiplication.Modular form 357390.2.a.t
sage: E.q_eigenform(10)