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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 72200.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
72200.l1 | 72200w1 | \([0, -1, 0, -3829608, 2885835337]\) | \(1462911232\) | \(4245890760250000\) | \([]\) | \(1034208\) | \(2.3137\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 72200.l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 72200.l do not have complex multiplication.Modular form 72200.2.a.l
sage: E.q_eigenform(10)