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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 12138s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
12138.q1 | 12138s1 | \([1, 1, 1, 283, 2315]\) | \(30004847/42336\) | \(-3535945056\) | \([]\) | \(8640\) | \(0.51779\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 12138s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 12138s do not have complex multiplication.Modular form 12138.2.a.s
sage: E.q_eigenform(10)