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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 13923i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
13923.b1 | 13923i1 | \([0, 0, 1, -26211, 1633338]\) | \(-2731787761881088/19171971\) | \(-13976366859\) | \([]\) | \(33024\) | \(1.1261\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 13923i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 13923i do not have complex multiplication.Modular form 13923.2.a.i
sage: E.q_eigenform(10)