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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 190575.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
190575.l1 | 190575e1 | \([0, 0, 1, -157575, 23993406]\) | \(313944395776/1240029\) | \(1709089344703125\) | \([]\) | \(2365440\) | \(1.7801\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 190575.l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 190575.l do not have complex multiplication.Modular form 190575.2.a.l
sage: E.q_eigenform(10)