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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 417450l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
417450.l1 | 417450l1 | \([1, 1, 0, -84625, -10416875]\) | \(-3222772836011/373770240\) | \(-7773252960000000\) | \([]\) | \(3801600\) | \(1.7854\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 417450l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 417450l do not have complex multiplication.Modular form 417450.2.a.l
sage: E.q_eigenform(10)