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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 435344.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
435344.b1 | 435344b1 | \([0, 0, 0, -1422811, -662762399]\) | \(-4124632486295808/70140333767\) | \(-5416863908632952048\) | \([]\) | \(12579840\) | \(2.3932\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 435344.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 435344.b do not have complex multiplication.Modular form 435344.2.a.b
sage: E.q_eigenform(10)