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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 63580l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
63580.l1 | 63580l1 | \([0, 1, 0, -52405, 4721575]\) | \(-8912896/275\) | \(-491093323846400\) | \([]\) | \(249696\) | \(1.5960\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 63580l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 63580l do not have complex multiplication.Modular form 63580.2.a.l
sage: E.q_eigenform(10)