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SageMath
E = EllipticCurve("ee1")
E.isogeny_class()
Elliptic curves in class 350658.ee
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
350658.ee1 | 350658ee1 | \([1, -1, 1, -2476409, 1592250905]\) | \(-977077413467/71221248\) | \(-122425327431097270272\) | \([]\) | \(10644480\) | \(2.6039\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 350658.ee1 has rank \(1\).
Complex multiplication
The elliptic curves in class 350658.ee do not have complex multiplication.Modular form 350658.2.a.ee
sage: E.q_eigenform(10)