Show commands:
SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 2736.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2736.i1 | 2736f1 | \([0, 0, 0, 492, 3004]\) | \(70575104/61731\) | \(-11520486144\) | \([]\) | \(1536\) | \(0.61811\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2736.i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 2736.i do not have complex multiplication.Modular form 2736.2.a.i
sage: E.q_eigenform(10)