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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 26775.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
26775.l1 | 26775a1 | \([1, -1, 1, 10, 2]\) | \(179685/119\) | \(-80325\) | \([]\) | \(1920\) | \(-0.37006\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 26775.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 26775.l do not have complex multiplication.Modular form 26775.2.a.l
sage: E.q_eigenform(10)