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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 121680.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
121680.a1 | 121680el1 | \([0, 0, 0, -4368, 150748]\) | \(-22478848/10935\) | \(-4483491367680\) | \([]\) | \(322560\) | \(1.1331\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 121680.a1 has rank \(2\).
Complex multiplication
The elliptic curves in class 121680.a do not have complex multiplication.Modular form 121680.2.a.a
sage: E.q_eigenform(10)