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SageMath
E = EllipticCurve("mg1")
E.isogeny_class()
Elliptic curves in class 277200mg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
277200.mg1 | 277200mg1 | \([0, 0, 0, -472800, 404462000]\) | \(-250523582464/1369738755\) | \(-63906531353280000000\) | \([]\) | \(5529600\) | \(2.4844\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 277200mg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 277200mg do not have complex multiplication.Modular form 277200.2.a.mg
sage: E.q_eigenform(10)