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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 24048b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
24048.d1 | 24048b1 | \([0, 0, 0, 1437, -57854]\) | \(219804478/1095687\) | \(-1635851925504\) | \([]\) | \(28672\) | \(1.0258\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 24048b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 24048b do not have complex multiplication.Modular form 24048.2.a.b
sage: E.q_eigenform(10)