Show commands:
SageMath
E = EllipticCurve("cn1")
E.isogeny_class()
Elliptic curves in class 159936cn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
159936.c1 | 159936cn1 | \([0, -1, 0, -12805, 613411]\) | \(-629407744/70227\) | \(-25910059508928\) | \([]\) | \(604800\) | \(1.3111\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 159936cn1 has rank \(1\).
Complex multiplication
The elliptic curves in class 159936cn do not have complex multiplication.Modular form 159936.2.a.cn
sage: E.q_eigenform(10)