Show commands:
SageMath
E = EllipticCurve("co1")
E.isogeny_class()
Elliptic curves in class 360640.co
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
360640.co1 | 360640co1 | \([0, -1, 0, -183521, -30268055]\) | \(-5674076449024/14904575\) | \(-1795592544435200\) | \([]\) | \(2064384\) | \(1.8023\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 360640.co1 has rank \(1\).
Complex multiplication
The elliptic curves in class 360640.co do not have complex multiplication.Modular form 360640.2.a.co
sage: E.q_eigenform(10)