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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 19950b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
19950.l1 | 19950b1 | \([1, 1, 0, 3875, -153125]\) | \(411664745519/900243750\) | \(-14066308593750\) | \([]\) | \(63360\) | \(1.2071\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 19950b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 19950b do not have complex multiplication.Modular form 19950.2.a.b
sage: E.q_eigenform(10)