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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 481338x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
481338.x1 | 481338x1 | \([1, -1, 0, -567, -7243]\) | \(-51046875/30056\) | \(-11881347192\) | \([]\) | \(269568\) | \(0.63572\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 481338x1 has rank \(1\).
Complex multiplication
The elliptic curves in class 481338x do not have complex multiplication.Modular form 481338.2.a.x
sage: E.q_eigenform(10)