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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 21675.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
21675.b1 | 21675l1 | \([0, -1, 1, -28, -42]\) | \(69632/9\) | \(325125\) | \([]\) | \(4032\) | \(-0.21374\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 21675.b1 has rank \(2\).
Complex multiplication
The elliptic curves in class 21675.b do not have complex multiplication.Modular form 21675.2.a.b
sage: E.q_eigenform(10)