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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 122694l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
122694.b1 | 122694l1 | \([1, 1, 0, -2029524, -1107283536]\) | \(851494303283/5668704\) | \(6154725017404982304\) | \([]\) | \(4942080\) | \(2.4404\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 122694l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 122694l do not have complex multiplication.Modular form 122694.2.a.l
sage: E.q_eigenform(10)