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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 309168l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
309168.l1 | 309168l1 | \([0, 0, 0, -43011, -3433374]\) | \(-218293642278/2147\) | \(-86547253248\) | \([]\) | \(499200\) | \(1.2590\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 309168l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 309168l do not have complex multiplication.Modular form 309168.2.a.l
sage: E.q_eigenform(10)