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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 66759l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
66759.l1 | 66759l1 | \([0, 1, 1, 6, -511]\) | \(69632/392931\) | \(-113557059\) | \([]\) | \(34560\) | \(0.22457\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 66759l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 66759l do not have complex multiplication.Modular form 66759.2.a.l
sage: E.q_eigenform(10)