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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 348.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
348.a1 | 348c1 | \([0, -1, 0, -94, 3973]\) | \(-5802287872/416118303\) | \(-6657892848\) | \([]\) | \(180\) | \(0.56464\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 348.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 348.a do not have complex multiplication.Modular form 348.2.a.a
sage: E.q_eigenform(10)