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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 35739m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
35739.b1 | 35739m1 | \([0, 0, 1, 285, 90]\) | \(512000/297\) | \(-1485062667\) | \([]\) | \(24960\) | \(0.44935\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 35739m1 has rank \(2\).
Complex multiplication
The elliptic curves in class 35739m do not have complex multiplication.Modular form 35739.2.a.m
sage: E.q_eigenform(10)