Show commands:
SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 327990.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
327990.c1 | 327990c1 | \([1, 1, 0, -22325203, -30893717843]\) | \(1739874810731935427689/424271925913680000\) | \(300079472032153504080000\) | \([]\) | \(38438400\) | \(3.2156\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 327990.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 327990.c do not have complex multiplication.Modular form 327990.2.a.c
sage: E.q_eigenform(10)