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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 12138.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
12138.l1 | 12138k1 | \([1, 0, 1, -10844, -450142]\) | \(-5841725401/231336\) | \(-5583888662184\) | \([]\) | \(34560\) | \(1.2145\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 12138.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 12138.l do not have complex multiplication.Modular form 12138.2.a.l
sage: E.q_eigenform(10)