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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 56784.l
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 56784.l1 | 56784bg1 | \([0, -1, 0, 16844, 12432172]\) | \(2530736/321489\) | \(-67135604163473664\) | \([]\) | \(359424\) | \(1.9081\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 56784.l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 56784.l do not have complex multiplication.Modular form 56784.2.a.l
sage: E.q_eigenform(10)