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SageMath
E = EllipticCurve("hl1")
E.isogeny_class()
Elliptic curves in class 227850hl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
227850.w1 | 227850hl1 | \([1, 1, 0, -375, 2325]\) | \(191227225/23808\) | \(729120000\) | \([]\) | \(96768\) | \(0.43033\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 227850hl1 has rank \(1\).
Complex multiplication
The elliptic curves in class 227850hl do not have complex multiplication.Modular form 227850.2.a.hl
sage: E.q_eigenform(10)