Show commands:
SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 297024k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
297024.k1 | 297024k1 | \([0, -1, 0, -57, -2421]\) | \(-325660672/40000779\) | \(-2560049856\) | \([]\) | \(176640\) | \(0.48473\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 297024k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 297024k do not have complex multiplication.Modular form 297024.2.a.k
sage: E.q_eigenform(10)