Show commands:
SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 323400.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
323400.ba1 | 323400ba1 | \([0, -1, 0, -374033, -28459563]\) | \(602563032064/311953125\) | \(2995997812500000000\) | \([]\) | \(6967296\) | \(2.2373\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 323400.ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 323400.ba do not have complex multiplication.Modular form 323400.2.a.ba
sage: E.q_eigenform(10)