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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 331056a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
331056.a1 | 331056a1 | \([0, 0, 0, -15972, 16105100]\) | \(-27648/6859\) | \(-111788904125276928\) | \([]\) | \(4764672\) | \(1.9505\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 331056a1 has rank \(2\).
Complex multiplication
The elliptic curves in class 331056a do not have complex multiplication.Modular form 331056.2.a.a
sage: E.q_eigenform(10)