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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 224400.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
224400.b1 | 224400eg1 | \([0, -1, 0, -68575908, -256470553188]\) | \(-8916171784936232672464/1945376358587578125\) | \(-7781505434350312500000000\) | \([]\) | \(67092480\) | \(3.4970\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 224400.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 224400.b do not have complex multiplication.Modular form 224400.2.a.b
sage: E.q_eigenform(10)