Show commands:
SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 57222l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
57222.c1 | 57222l1 | \([1, -1, 0, -513, 4909]\) | \(-70945777/5808\) | \(-1223635248\) | \([]\) | \(36864\) | \(0.48972\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 57222l1 has rank \(2\).
Complex multiplication
The elliptic curves in class 57222l do not have complex multiplication.Modular form 57222.2.a.l
sage: E.q_eigenform(10)