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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 268770l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
268770.l1 | 268770l1 | \([1, 1, 0, -3005816322, 65728833252084]\) | \(-124427822010671478697670089/5317924709672681472000\) | \(-128361774616529316445421568000\) | \([]\) | \(448842240\) | \(4.3515\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 268770l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 268770l do not have complex multiplication.Modular form 268770.2.a.l
sage: E.q_eigenform(10)