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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 250470.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
250470.i1 | 250470i1 | \([1, -1, 0, -587175, -204326875]\) | \(-17335770872841/3953125000\) | \(-5105334314953125000\) | \([]\) | \(6635520\) | \(2.3096\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 250470.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 250470.i do not have complex multiplication.Modular form 250470.2.a.i
sage: E.q_eigenform(10)