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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 193200.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
193200.g1 | 193200gp1 | \([0, -1, 0, 167, 9637]\) | \(3200000/255507\) | \(-40881120000\) | \([]\) | \(129024\) | \(0.71567\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 193200.g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 193200.g do not have complex multiplication.Modular form 193200.2.a.g
sage: E.q_eigenform(10)