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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 303600a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
303600.a1 | 303600a1 | \([0, -1, 0, 372692, 56206987]\) | \(22899855913233152/18735531529671\) | \(-4683882882417750000\) | \([]\) | \(5806080\) | \(2.2703\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 303600a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 303600a do not have complex multiplication.Modular form 303600.2.a.a
sage: E.q_eigenform(10)