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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 110400.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
110400.b1 | 110400ge1 | \([0, -1, 0, -10033, -436313]\) | \(-111701610496/18862875\) | \(-18862875000000\) | \([]\) | \(368640\) | \(1.2741\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 110400.b1 has rank \(2\).
Complex multiplication
The elliptic curves in class 110400.b do not have complex multiplication.Modular form 110400.2.a.b
sage: E.q_eigenform(10)