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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 28611l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
28611.t1 | 28611l1 | \([1, -1, 0, -24954048, 47988799839]\) | \(-337930850201473/21434787\) | \(-109002904810483548843\) | \([]\) | \(1723392\) | \(2.9031\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28611l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 28611l do not have complex multiplication.Modular form 28611.2.a.l
sage: E.q_eigenform(10)