Show commands:
SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 20286.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
20286.e1 | 20286d1 | \([1, -1, 0, -101129541, -391414687147]\) | \(-1008050316336685251/23552\) | \(-2672411951010816\) | \([]\) | \(1411200\) | \(2.9336\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 20286.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 20286.e do not have complex multiplication.Modular form 20286.2.a.e
sage: E.q_eigenform(10)