Show commands:
SageMath
E = EllipticCurve("cb1")
E.isogeny_class()
Elliptic curves in class 97020cb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
97020.p1 | 97020cb1 | \([0, 0, 0, -2168103, -1828836898]\) | \(-21380386384/15035625\) | \(-792627944084111520000\) | \([]\) | \(4515840\) | \(2.7102\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 97020cb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 97020cb do not have complex multiplication.Modular form 97020.2.a.cb
sage: E.q_eigenform(10)