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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 299538.x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
299538.x1 | 299538x1 | \([1, -1, 1, -347, 638627]\) | \(-9/344\) | \(-176138459997336\) | \([]\) | \(931392\) | \(1.4124\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 299538.x1 has rank \(1\).
Complex multiplication
The elliptic curves in class 299538.x do not have complex multiplication.Modular form 299538.2.a.x
sage: E.q_eigenform(10)