Show commands:
SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 37200a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
37200.g1 | 37200a1 | \([0, -1, 0, -3508, -87113]\) | \(-19102326016/2413071\) | \(-603267750000\) | \([]\) | \(53760\) | \(0.99447\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 37200a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 37200a do not have complex multiplication.Modular form 37200.2.a.a
sage: E.q_eigenform(10)