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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 30446j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
30446.l1 | 30446j1 | \([1, 0, 0, -71366, -7344076]\) | \(40197418128703495009/535118896\) | \(535118896\) | \([]\) | \(96000\) | \(1.2325\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 30446j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 30446j do not have complex multiplication.Modular form 30446.2.a.j
sage: E.q_eigenform(10)