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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 363b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
363.c1 | 363b1 | \([0, -1, 1, 4, -1]\) | \(45056/27\) | \(-3267\) | \([]\) | \(36\) | \(-0.63641\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 363b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 363b do not have complex multiplication.Modular form 363.2.a.b
sage: E.q_eigenform(10)