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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 193600.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
193600.g1 | 193600b1 | \([0, 0, 0, 2420, 48400]\) | \(3267/4\) | \(-1919025152000\) | \([]\) | \(479232\) | \(1.0430\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 193600.g1 has rank \(2\).
Complex multiplication
The elliptic curves in class 193600.g do not have complex multiplication.Modular form 193600.2.a.g
sage: E.q_eigenform(10)