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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 70602.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
70602.ba1 | 70602ba1 | \([1, 1, 1, -10121, -393289]\) | \(40575253489/338688\) | \(957051341568\) | \([]\) | \(241920\) | \(1.1247\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 70602.ba1 has rank \(0\).
Complex multiplication
The elliptic curves in class 70602.ba do not have complex multiplication.Modular form 70602.2.a.ba
sage: E.q_eigenform(10)