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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 189618g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
189618.bo1 | 189618g1 | \([1, 0, 0, -398421, 201907809]\) | \(-1449073218392281/2811246362496\) | \(-13569349243712955264\) | \([]\) | \(5870592\) | \(2.3608\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 189618g1 has rank \(2\).
Complex multiplication
The elliptic curves in class 189618g do not have complex multiplication.Modular form 189618.2.a.g
sage: E.q_eigenform(10)