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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 348480.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
348480.f1 | 348480f1 | \([0, 0, 0, 15972, 1054152]\) | \(76032/125\) | \(-740824292736000\) | \([]\) | \(1622016\) | \(1.5383\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 348480.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 348480.f do not have complex multiplication.Modular form 348480.2.a.f
sage: E.q_eigenform(10)