Show commands:
SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 46410l
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 46410.f1 | 46410l1 | \([1, 1, 0, -11522913, -15163667757]\) | \(-169203997709454503695857049/1350833308630558593750\) | \(-1350833308630558593750\) | \([]\) | \(4088448\) | \(2.8826\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 46410l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 46410l do not have complex multiplication.Modular form 46410.2.a.l
sage: E.q_eigenform(10)