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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 195994.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
195994.g1 | 195994a1 | \([1, 0, 0, -50886, 4416772]\) | \(-2305199161/1696\) | \(-10721031731104\) | \([]\) | \(792540\) | \(1.4343\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 195994.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 195994.g do not have complex multiplication.Modular form 195994.2.a.g
sage: E.q_eigenform(10)