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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 304200.z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
304200.z1 | 304200z1 | \([0, 0, 0, -8568300, 125682680500]\) | \(-173056/16875\) | \(-6783671737659667500000000\) | \([]\) | \(46006272\) | \(3.4443\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 304200.z1 has rank \(0\).
Complex multiplication
The elliptic curves in class 304200.z do not have complex multiplication.Modular form 304200.2.a.z
sage: E.q_eigenform(10)