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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 17328.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
17328.g1 | 17328p1 | \([0, -1, 0, -101, 729]\) | \(-65536/81\) | \(-142228224\) | \([]\) | \(3840\) | \(0.25791\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 17328.g1 has rank \(2\).
Complex multiplication
The elliptic curves in class 17328.g do not have complex multiplication.Modular form 17328.2.a.g
sage: E.q_eigenform(10)