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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 155298y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
155298.m1 | 155298y1 | \([1, 0, 1, -214066, -38139196]\) | \(-1084835472919973673625/447814828032\) | \(-447814828032\) | \([]\) | \(634752\) | \(1.5808\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 155298y1 has rank \(0\).
Complex multiplication
The elliptic curves in class 155298y do not have complex multiplication.Modular form 155298.2.a.y
sage: E.q_eigenform(10)