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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 212940.z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
212940.z1 | 212940n1 | \([0, 0, 0, 12168, 54756]\) | \(37380096/21875\) | \(-116597426400000\) | \([]\) | \(622080\) | \(1.3886\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 212940.z1 has rank \(2\).
Complex multiplication
The elliptic curves in class 212940.z do not have complex multiplication.Modular form 212940.2.a.z
sage: E.q_eigenform(10)