Show commands:
SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 309168.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
309168.e1 | 309168e1 | \([0, 0, 0, 257733, 14300010]\) | \(634083310913031/396531181952\) | \(-1184035764809760768\) | \([]\) | \(10160640\) | \(2.1570\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 309168.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 309168.e do not have complex multiplication.Modular form 309168.2.a.e
sage: E.q_eigenform(10)