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SageMath
E = EllipticCurve("er1")
E.isogeny_class()
Elliptic curves in class 397488er
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
397488.er1 | 397488er1 | \([0, -1, 0, -13313730824, -594664239511824]\) | \(-112205650221491190337/745029571313664\) | \(-1732933162640659437499138965504\) | \([]\) | \(921231360\) | \(4.6379\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 397488er1 has rank \(1\).
Complex multiplication
The elliptic curves in class 397488er do not have complex multiplication.Modular form 397488.2.a.er
sage: E.q_eigenform(10)