Show commands:
SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 412224v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
412224.v1 | 412224v1 | \([0, -1, 0, -1845, 31509]\) | \(-678653722624/9912699\) | \(-10150603776\) | \([]\) | \(199680\) | \(0.72435\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 412224v1 has rank \(2\).
Complex multiplication
The elliptic curves in class 412224v do not have complex multiplication.Modular form 412224.2.a.v
sage: E.q_eigenform(10)