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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 165620b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
165620.d1 | 165620b1 | \([0, 0, 0, -57967, -10549994]\) | \(-3024/5\) | \(-35616759488011520\) | \([]\) | \(1935360\) | \(1.8668\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 165620b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 165620b do not have complex multiplication.Modular form 165620.2.a.b
sage: E.q_eigenform(10)