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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 53900.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
53900.a1 | 53900bh1 | \([0, 0, 0, -95323375, -363224566250]\) | \(-8142048846461520/132632423693\) | \(-1560407201505775700000000\) | \([]\) | \(19353600\) | \(3.4424\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 53900.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 53900.a do not have complex multiplication.Modular form 53900.2.a.a
sage: E.q_eigenform(10)