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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 3344.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3344.a1 | 3344g1 | \([0, 0, 0, -91, 394]\) | \(-20346417/4598\) | \(-18833408\) | \([]\) | \(1344\) | \(0.11596\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3344.a1 has rank \(2\).
Complex multiplication
The elliptic curves in class 3344.a do not have complex multiplication.Modular form 3344.2.a.a
sage: E.q_eigenform(10)