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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 6040.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6040.g1 | 6040b1 | \([0, 1, 0, -111, -490]\) | \(-9538484224/18875\) | \(-302000\) | \([]\) | \(576\) | \(-0.060508\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6040.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 6040.g do not have complex multiplication.Modular form 6040.2.a.g
sage: E.q_eigenform(10)