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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 786l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
786.l1 | 786l1 | \([1, 0, 0, -42, 36]\) | \(8205738913/4074624\) | \(4074624\) | \([]\) | \(280\) | \(-0.038663\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 786l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 786l do not have complex multiplication.Modular form 786.2.a.l
sage: E.q_eigenform(10)