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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 12880g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
12880.s1 | 12880g1 | \([0, 1, 0, -2071545, 1146907475]\) | \(-3840316976122235063296/27784071875\) | \(-7112722400000\) | \([]\) | \(144000\) | \(2.0625\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 12880g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 12880g do not have complex multiplication.Modular form 12880.2.a.g
sage: E.q_eigenform(10)