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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 70805.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
70805.b1 | 70805t1 | \([0, 1, 1, -1364176, 491065586]\) | \(1183744/245\) | \(58109018266511478245\) | \([]\) | \(3172608\) | \(2.5076\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 70805.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 70805.b do not have complex multiplication.Modular form 70805.2.a.b
sage: E.q_eigenform(10)