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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 274890.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
274890.e1 | 274890e1 | \([1, 1, 0, -1413272333, 20463677317287]\) | \(-2653463045771824244380558921/2188625615789317031250\) | \(-257489615071997359409531250\) | \([]\) | \(223534080\) | \(3.9964\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 274890.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 274890.e do not have complex multiplication.Modular form 274890.2.a.e
sage: E.q_eigenform(10)