Show commands:
SageMath
E = EllipticCurve("cf1")
E.isogeny_class()
Elliptic curves in class 274890.cf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
274890.cf1 | 274890cf1 | \([1, 0, 1, -207884, -37433014]\) | \(-8444922396903721/253364474880\) | \(-29808077105157120\) | \([]\) | \(3326400\) | \(1.9392\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 274890.cf1 has rank \(1\).
Complex multiplication
The elliptic curves in class 274890.cf do not have complex multiplication.Modular form 274890.2.a.cf
sage: E.q_eigenform(10)