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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 348726.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
348726.t1 | 348726t1 | \([1, 0, 1, -232492, -75643414]\) | \(-81830698777/98114688\) | \(-1666336988896046208\) | \([]\) | \(7354368\) | \(2.1902\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 348726.t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 348726.t do not have complex multiplication.Modular form 348726.2.a.t
sage: E.q_eigenform(10)