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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 14896.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
14896.g1 | 14896m1 | \([0, 1, 0, -65, 1147]\) | \(-1024/19\) | \(-572244736\) | \([]\) | \(5280\) | \(0.36148\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14896.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 14896.g do not have complex multiplication.Modular form 14896.2.a.g
sage: E.q_eigenform(10)