Show commands:
SageMath
E = EllipticCurve("ff1")
E.isogeny_class()
Elliptic curves in class 304200.ff
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
304200.ff1 | 304200ff1 | \([0, 0, 0, -4875, -146250]\) | \(-7020\) | \(-1825200000000\) | \([]\) | \(437760\) | \(1.0836\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 304200.ff1 has rank \(0\).
Complex multiplication
The elliptic curves in class 304200.ff do not have complex multiplication.Modular form 304200.2.a.ff
sage: E.q_eigenform(10)