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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 3150x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3150.bi1 | 3150x1 | \([1, -1, 1, 40, -293]\) | \(10733445/57344\) | \(-38707200\) | \([]\) | \(1248\) | \(0.13807\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3150x1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3150x do not have complex multiplication.Modular form 3150.2.a.x
sage: E.q_eigenform(10)