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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 409101.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
409101.l1 | 409101l1 | \([1, 0, 0, -107654, 13421673]\) | \(9692612875033/135163203\) | \(1924119696039387\) | \([]\) | \(2119680\) | \(1.7381\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 409101.l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 409101.l do not have complex multiplication.Modular form 409101.2.a.l
sage: E.q_eigenform(10)