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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 382200g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
382200.g1 | 382200g1 | \([0, -1, 0, -1322113508, 18504668277012]\) | \(-11083722100790228176/582924346875\) | \(-13441771431157387500000000\) | \([]\) | \(149990400\) | \(3.8900\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 382200g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 382200g do not have complex multiplication.Modular form 382200.2.a.g
sage: E.q_eigenform(10)