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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 6762l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6762.t1 | 6762l1 | \([1, 0, 1, 3208, -290818]\) | \(633631943/6716184\) | \(-38717464239384\) | \([]\) | \(28224\) | \(1.2883\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6762l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 6762l do not have complex multiplication.Modular form 6762.2.a.l
sage: E.q_eigenform(10)